Mathematics High School

What is the solution to this system of linear equations?
2x + y = 1
3x – y = –6

(–1, 3)

(1, –1)

(2, 3)

(5, 0)

Answers

Answer 1

x = -1

y = 3

2x + y = 1 (eq no 1)

3x - y = -6 (eq no 2)

solve eq no 1

y = 1 - 2x (eq no 3)

enter eq no 3 into eq no 2

3x - ( 1 - 2x ) = -6

3x - 1 + 2x = -6

5x = -5

x = -5/5

x = -1

enter x = -1 into eq no 1

2 (-1) + y = 1

-2 + y = 1

y = 3

Answer 2

Answer:

A. (-1,3)

Hope this helps :D

Related Questions

Laurie wants to put a portable cellular phone mini-tower on her roof. the tower cannot be placed higher than 30 feet. the slant of the roof can be represented by the equation r(x)=-1/4|x|+60. If her house is 40 feet wide where could she place the tower? Explain

Answers

Answer:

on the ground

Step-by-step explanation:

insert parenthesis in the following problem to make it true.

7 – 2 x 2 – 1 = 9

help me!!!

Answers

Answer:

(7-2) x 2 -1 = 9

Step-by-step explanation:

(7-2) = 5 x 2 =10 -1 = 9

Need help fast!! Please help

Answers

Answer:

I am pretty sure it is 10.5

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

your equation: DT = DH + HT

HT = 2DH

so now your equation is DT = DH + 2DH

plug in your values: 3.5 + 2(3.5)

you get DH = 10.5

What is another way to write 75?

5+5+5+5+5+5+5

7×7×7×7×7

5×5×5×5×5×5×5

7+7+7+7+7

Answers

Answer:

3 • 25

Step-by-step explanation:

3 25 times also makes 75

Plot the points (-6,8) and (0,8) on the coordinate plane below.
What is the distance between these two points?
units

Answers

The points (-6,8) and (0,8) are coordinate points, and the distance between the points (-6,8) and (0,8) is 6 units

The distance between the two points

The points are given as:

A = (-6,8)

B = (0,8)

The distance between the points is calculated using:

[tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]d= \sqrt{(-6 - 0)^2 + (8 -8)^2}[/tex]

Evaluate

d = 6

Hence, the distance between the points (-6,8) and (0,8) is 6 units

Answers

Answer:

what? please give more details

Step-by-step explanation:

Answer: A

Step-by-step explanation:

see pictures

Find the length of the segment AB
-4 to 2
The length is I (Type an integer or a decimal.)

Answers

Answer:

The length of AB is positive 6

Plzzzzzzz I will mark you as a brainliest and you will have 15 points plz someone help:)

Answers

Answer:

a. -2+6 (ends up at 4)

b -2+(-6) (ends up at -8)

Step-by-step explanation:

please help me ASAP

Answers

The class 4S because you divide each number by its mean mark and standard division and 4S is the highest.

May anyone please help?

Answers

I think it’s yes but I may be wrong

Yes or in other words A

45t-60(t-[tex]A) 45t-60(t-\frac{1}{2}=1\\B) 45t+60(t-\frac{1}{2}=1\\C) 45t=60(t-\frac{1}{2}\\\\D) 45t-60t=1\frac{1}{2} \\[/tex]

Answers

Answer:

Step-by-step explanation:

please help me asap.

Answers

Answer:

it would for sure be a

Step-by-step explanation:

A for sure...............

who can solve 3|2y-4|-7=17

Answers

Answer:

no, i cant solve it in paper but i can in my brain

Step-by-step explanation:

14. Write a description of the rule (x,y) (x + 10, y + 8)
a translation 10 units to the right and 8 units up
b. translation 10 units left and 8 units down
c. translation 10 units to the right and 8 units down
d. translation 10 units to the left and 8 units up

Answers

Answer:

Step-by-step explanation: took the test

Lukas is investing $16 000 that he would like to grow to at least $ 100 000 by the
time he retires in 50 years. What annual interest rate, compounded annually, will
provide this?

Answers

Answer:

$1,680 each year

Step-by-step explanation:

To answer this problem you first need to subtract 16,000 from 100,000 so 100,000-16,000=84,000. Then divide 84,000 by 50 which leaves you with the answer $1,680

6. Determine the value of x and y in the diagram below.
Show how you determined the value of x and y using Algebra

Answers

Answer:

y=43

X=34

Step-by-step explanation:

a) 2y+4=90

2y+4-4=90-4

2y=86. divide 86 by 2 to get y.

b) 3x-11=90

3x-11+11=90+11

3x=101. divide 101 by 3 to get X.

I am unable to understand how to solve this question, please send the working out.

Answers

1 Move the negative sign to the left.
(
9
x
)
1
2
8
x
−
1
2
3
(9x)

2

1

3
√
8x
−
2

1

2 Convert
(
9
x
)
1
2
(9x)

2

1

to square root.
9
x
8
x
−
1
2
3
√
9x

3
√
8x
−
2

1

3 Use this rule:
a
b
=
a
b
√
ab

=√
a

√
b

.
9
x
8
x
−
1
2
3
√
9

√
x

3
√
8x
−
2

1

4 Since
3
×
3
=
9
3×3=9, the square root of
9
9 is
3
3.
3
x
8
x
−
1
2
3
3√
x

3
√
8x
−
2

1

5 Use Multiplication Distributive Property:
(
x
y
)
a
=
x
a
y
a
(xy)
a
=x
a
y
a
.
3
x
8
3
x
−
1
2
3
3√
x

3
√
8

3
√
x
−
2

1

6 Calculate.
3
x
×
2
x
−
1
2
3
3√
x

×2
3
√
x
−
2

1

7 Use this rule:
(
x
a
)
b
=
x
a
b
(x
a
)
b
=x
ab
.
3
x
×
2
x
−
1
2
×
3
3√
x

×2x

2×3

−1

8 Simplify
2
×
3
2×3 to
6
6.
3
x
×
2
x
−
1
6
3√
x

×2x

6

−1

9 Move the negative sign to the left.
3
x
×
2
x
−
1
6
3√
x

×2x
−
6

1

10 Use Negative Power Rule:
x
−
a
=
1
x
a
x
−a
=
x
a

1
.
3
x
×
2
×
1
x
6
3√
x

×2×

6
√
x

1

11 Use Quotient Rule:
x
a
x
b
=
x
a
−
b
x
b

x
a

=x
a−b
.
\[3\times 2\sqrt[2}-\frac{1}{6]{x}\]

12 Simplify
1
2
−
1
6
2

1
−
6

1
to
1
3
3

1
.
3
×
2
x
3
3×2
3
√
x

13 Simplify.
6
x
3
6
3
√
x

Answer:

[tex](9x)^{\frac{1}{2} }.(8x^{\frac{-1}{2} })^{\frac{1}{3} }\\\\=9^{1/2}.x^{1/2}.8^{1/3}.x^{-1/2.1/3} \\\\=3.2.x^{1/2}.x^{-1/6} \\\\\\=6.x^{1/2-1/6}\\\\=6x^{1/3}[/tex]

Step-by-step explanation:

can someone help me please

Answers

Answer:

greg

Step-by-step explanation:

heffly is a sociopath. he shall burn in the gates of hell

A line passes through (2, −1) with slope 3. What is the equation of the line in slope-intercept form? A. y=3x+5 B. y=3x−7 C. y=13x+5 D. y=−13x

Answers

Answer:

Step-by-step explanation:

y=3x+a

3*2+a=-1

a=-7

A go cart designer wants to build a Go Cart that measures 4 feet in height, 6 feet in width and 8 feet in length. He needs to construct a three - dimensional model of the Go Cart. Which measurements are appropriate for the scale model? a. 2 feet wide, 5 feet long and 2 feet high b. 3 feet wide, 4 feet long and 2 feet high c. 2.5 feet wide, 2 feet long, and 1.5 feet high d. 6 feet wide, 5 feet long and 3 feet high

Answers

Answer:

The correct answer is:

3 feet wide, 4 feet long, and 2 feet high (b)

Step-by-step explanation:

The appropriate scale for the model must be equivalent to the scale of the actual design. This means that the variation must be of the same magnitude in the length, height, and width.

Cart design = 4 feet high; 6 feet wide; 8 feet long

Cart design = 4H : 6W : 8L

where H, W, and L are height, width, and length respectively.

since the model of the Go Cart will be lesser than the actual Cart, let us divide the original cart design by the model designs given in the option, anyone that gives us a consistent variation is a right scale. This is done as follows:

a) Model design = 2H : 2W : 5L

dividing the original dimension by the model:

[tex]\frac{4H}{2H} : \frac{6W}{2W} : \frac{8L}{5L} \\= 2 : 3 : 1.6\\[/tex]

since the variations are not the same, this is the wrong model.

b) Model design = 2H : 3W : 4L

[tex]\frac{4H}{2H} : \frac{6W}{3W} : \frac{8L}{4L} \\= 2 : 2 : 2\\[/tex]

variation is the same across the three dimensions, hence this is the right model.

You can go ahead to use the same principle to do the third model, to see what you will get.

Complete the solution of the equation. Find the value of Y when X equals 5. X-5y=45

Answers

Answer:

y = -8

Step-by-step explanation:

5 - 5y = 45

-5y = 40

y = -8

Answer:

-8

Step-by-step explanation:

replace X with 5

subtract 5 from both sides of the equation:

-5y = 40

divide by - 5

y = -8

−5x + 8 ≤ −2x + 23 was solved by dividing each side of the inequality by −3 in the last step. Is there another way to solve this inequality so that you can avoid dividing by a negative number? Explain.

Answers

Answer:

x≥−5

Step-by-step explanation:

Prove that quadrilateral Q(1, 2), U(2, 5), A(5, 7) and D(4, 4) is a parallelogram by using slopes.

Slope of QU =

Slope of AD =

Slope of UA =

Slope of QD =

Which sides are parallel (give the letters) A) sides QU and AD B) sides QU and UA C) sides UA and QD D) sides AD and QD

Answers

Answer:

[tex]m = 3[/tex] ---- Slopes of QU and AD

[tex]m =\frac{2}{3}[/tex] ---- Slopes of UA and QD

Sides QU and AD have the same slope

Sides UA and QD have the same slope

Step-by-step explanation:

Given

[tex]Q = (1, 2)[/tex]

[tex]U = (2, 5)[/tex]

[tex]A = (5, 7)[/tex]

[tex]D = (4, 4)[/tex]

Solving (a): Slope of QU

[tex]Q = (x_1,y_1)= (1, 2)[/tex]

[tex]U = (x_2,y_2)= (2, 5)[/tex]

Slope, m is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m =\frac{5-2}{2-1}[/tex]

[tex]m =\frac{3}{1}[/tex]

[tex]m = 3[/tex]

Slope of AD

[tex]A =(x_1,y_1) = (5, 7)[/tex]

[tex]D = (x_2,y_2) = (4, 4)[/tex]

Slope, m is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m =\frac{4-7}{4-5}[/tex]

[tex]m =\frac{-3}{-1}[/tex]

[tex]m = 3[/tex]

Slope of UA

[tex]A =(x_1,y_1) = (5, 7)[/tex]

[tex]U = (x_2,y_2)= (2, 5)[/tex]

Slope, m is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m =\frac{5-7}{2-5}[/tex]

[tex]m =\frac{-2}{-3}[/tex]

[tex]m =\frac{2}{3}[/tex]

Slope of QD

[tex]Q = (x_1,y_1)= (1, 2)[/tex]

[tex]D = (x_2,y_2) = (4, 4)[/tex]

Slope, m is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m =\frac{4-2}{4-1}[/tex]

[tex]m =\frac{2}{3}[/tex]

Solving (b): Parallel Sides

Two sides are said to be parallel if they have the same slope.

The slope were calculated in (a) above and from there, we have the following observations

1. QU and AD have the same slope of 3

2. UA and QD have the same slope of 2/3

Helppppppppppppppppppppppppp

Answers

solving for x?? x=0, -2, 2

PLEASE HELP ME PLEASE!!! Question 2

Answers

Answer:

2 so b is the answer

Step-by-step explanation:

Neil's bank offered him a 4.95% interest rate for his mortgage. If he
purchases 3 points, what will his new rate be?
O A. 0.375%
O B. 4.575%
C. 1.75%
O D. 4.375%

Answers

I honestly think it’s C

Neil's new interest rate after purchasing 3 points would be 7. 95%. The closest option is B. 4.575%.

How to calculate the interest rate?

To calculate the new interest rate after purchasing points, we need to know the cost of one point and the number of points purchased.

One point typically costs 1% of the mortgage amount, so three points would cost 3% of the mortgage amount. The cost of the points is usually paid upfront at closing.

Assuming Neil's mortgage amount is $100,000, the cost of 3 points would be:

3% x $100,000 = $3,000

To calculate the new interest rate, we need to add the cost of the points to the original interest rate and then recalculate it as a percentage:

New rate = Original rate + (Cost of points / Mortgage amount)

New rate = 4.95% + ($3,000 / $100,000)

New rate = 4.95% + 3%

New rate = 7.95%

So, Neil's new interest rate after purchasing 3 points would be 7. 95%. The closest option is B. 4.575%.

To know more about interest rates follow

https://brainly.com/question/16749129

#SPJ7

Zarah earns a weekly salary of $645 plus a commission of 6.5% on sales at the clothing store where she works. How much would she earn in one week if she sold $2,200 worth of merchandise? Zarah would earn $ _________ for that week.

Answers

He would make 788 dollars a weak 6.5%of 2200 is 143 so 143+645=788 a week if he sold that much merchandise.

Simplify the following expression.

(35x + 65y) + (35x - 11y)

Answers

The answer is 70x+54y hope this helps

Rani bought 3 shirts for $9 each. Which equation can be used to find the total cost of the shirts, c?

Answers

Answer:

3(9) =c

Step-by-step explanation:

Answer:

3(c)=total cost

Step-by-step explanation:

If 3 shirts = $9

then 1 shirt = $3

c shirts= $3(c)

What would be the slope of the line perpendicular to the line y=3/5x-5

Answers

Answer:

y=-3/5x-5

the slope would be -3/5

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What is the solution to this system of linear equations? 2x + y = 1 3x – y = –6 (–1, 3) (1, –1) (2, 3) (5, 0)

Answers

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What is the solution to this system of linear equations?
2x + y = 1
3x – y = –6

(–1, 3)

(1, –1)

(2, 3)

(5, 0)