Find the solution to the system of equations:

7x-8y=-23

7x-7y=-14

Answers

Answer 1

Answer:

Solutions: x = 7, y = 9;  or (7, 9)

Step-by-step explanation:

Given the following systems of linear equations:

7x - 8y = -23

7x - 7y = -14

Since the coefficients of x in the given system have the same sign, we could use the process of elimination by subtracting the two equations.

    7x - 8y = -23

-   7x - 7y = -14    

             -y = -9  

Divide both sides by -1 to solve for y:

[tex]\frac{-y}{-1} = \frac{-9}{-1}[/tex]

y = 9

Substitute the value of y into either one of the given equations to solve for x:

7x - 7y = -14

7x - 7(9) = -14

7x - 63 = -14

Add 63 to both sides:

7x - 63 + 63 = -14 + 63

7x = 49

Divide both sides by 7 to solve for x:

[tex]\frac{7x}{7} = \frac{49}{7}[/tex]

x = 7

Double-check whether x = 7 and y = 9 are valid solutions to the given system:

x = 7, y = 9:

7x - 8y = -23

7(7) - 8(9) = -23

49 - 72 = -23

-23 = -23 (True statement).

7x - 7y = -14

7(7) - 7(9) = -14

49 - 63 = -14

-14 = -14 (True statement).

Therefore, the solution to the given systems of linear equations are x = 7, and y = 9, or (7, 9).


Related Questions

Can someone help:(( graph y=2x

Answers

Answer:

Look at the attached screenshot

Step-by-step explanation:

Slope is 2.

Since y-intercept is not given, we can assume that it is 0.

Answer:

Step-by-step explanation:

Make a table of points for y = 2x, and then plot these points, and finallyl draw a line through the points:

x   y

0   0

2   4

3   6 (and so on).

Plot this (0, 0) (it's the origin).  Next plot either (2, 4) or (3, 6) (or both).  Then draw a line through these points.  

Can I get some help on this I have so many assignments to do and I just want to go to sleep

Answers

Hi! It’s me from your other post! Here’s my work for you! It’s been awhile since I’ve done this stuff so I’m really sorry if I get you a bad grade! I just wanted to help out:))


The answers are ad||cd, be=de,

Answers

Answer:

Its AD||CD

Step-by-step explanation:

Graph the equation and identify the intercept(s). If the equation is linear, find the slope of the line.

4. 2x - 3y = 6
5. y = 4.5
6. y = | x - 1 | -2

Answers

Answer:

Graphs shown below.

4.) x-intercept: (3,0)  y-intercept: (0,-2)  slope: 2/3

5.) x-intercept: none  y-intercept: (0,4.5)  slope:0

6.) x-intercept: (3,0) and (-1,0)  y-intercept: (0,-1)   slope: none

#4 is blue graph, #5 is green graph, #6 is red graph

Step-by-step explanation:

** #4 is blue graph, #5 is green graph, #6 is red graph **

Increase 1000 in the ratio 2:5

Answers

Answer:

1400

Step-by-step explanation:

2/5×1000=400

1000+400=1400

Step-by-step explanation:

Let the new quantity be x.

x:1000=2:5

x/1000=2/5

(multiply both side by 1000)

[tex]1000 \times \frac{x}{1000} = 1000 \times \frac{2}{5} [/tex]

[tex]x = 400[/tex]

Highlight and name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL.

Answers

Step-by-step explanation:

Diagram 1

ΔALP ≅ ΔMLN by ASAΔANO ≅ ΔMPO by AAS (angle O is common)

Diagram 2

ΔMQW ≅ ΔSRW by SSSΔMQR ≅ ΔSQR by SSS (QR is common side)

Diagram 3

ΔAGR ≅ ΔOGR by SSSΔARO ≅ ΔARF by HL

Diagram 4

ΔGOS ≅ ΔGTR by ASA (∠G is common)ΔSTU ≅ ROU by AAS (∠U is congruent as vertical and RO = ST)

help algebra 2 100 pints if you answer right

Answers

Answer:

49x^4-70x^3+319x^2-420x+150, first option

Step-by-step explanation:

Just do (7x^3-5x^2+42x-30) times (7x-5)

and you will get 49x^4-35x^3-35x^3+25x^2+294x^2-210x-210x+150.

All this would simplify to the first option.

49x^4 - 35x^3 - 35x^3 + 25x^2 + 294x^2 - 210x - 210x + 150

= 49x^4 - 70x^3 + 319x^2 - 420x + 150

ANSwer: The first one.

MP Construct Arguments Raul finds a way to divide
48 building blocks into 6 equal groups. Jerry finds a
way to divide 48 building blocks into 8 equal groups.
Whose way has the greater number of building blocks
in each group? Explain.

Answers

Answer:

Raul

Step-by-step explanation:

Since 8 groups of building blocks has a smaller amount than 6 equal groups of building blocks, so Raul has more blocks in each group

can someone please help me solve this! ​

Answers

Answer:

B

Step-by-step explanation:

[tex]4x^{2}-11x-3=0\\4x^{2}-12x+x-3=0\\4x(x-3) + (x-3) = 0\\(4x+1)(x-3)=0[/tex]

B is factorable through this method

x^3 - 3x^2 + 4x - 12

Answers

Answer:

(x^2 + 4)(x - 3).

Step-by-step explanation:

I'm guessing you want to factor this.

You can do it by grouping:

x^3 - 3x^2 + 4x - 12

= x^2(x - 3) + 4(x - 3)

= (x^2 + 4)(x - 3).

Calculate the exact value of 0.428 ×2.75

Answers

[tex]0.428 ×2.75 = 1.177[/tex]

- BRAINLIEST ANSWERER

Scored 12 out of 39 in the test work out the percentage

Answers

30.8%

I did 12/39 in my calculator and got .308 then multiplyed by 100 to get 30.8%

The final grade on your math exam was determined by the function f(x) = 100 − 2x. Which statements are correct?
A) 100 is the maximum grade.
B) y equals your final grade.
C) This is an exponential function.
D) 2 is what each question is worth.
E) x is the number of correct problems.

Answers

Answer:

A. True

B. True

C. False

D. True

E. False

Step-by-step explanation:

A. True, you cannot get higher than 100 on this test , as you cannot get a negative amount of questions wrongs

B. True, as y = f(x)

C. False, as there is no exponents

D. True, as if x=1, you lose 2 points

E. False, as x is the number of wrong problems

PLEASE HELP!!!

what is the value of the expression 2/5m−1/3 when m = 3?

Answers

Answer:

13/15

Step-by-step explanation:

I took the quiz and solved it out. I would give further explaination but it is kinda hard to do that in text form. Have a nice day!

The value of the expression if m = 3 is 13/15

Given the expression as shown below:

2/5 m - 1/3

If the value of m = 3, hence the expression will become;

2/5(3) - 1/3

6/5 - 1/3

Find the LCM

6/5 - 1/3 = 3(6)-5/15\

6/5 - 1/3 = 18-5/15

6/5 - 1/3 = 13/15

Hence the value of the expression if m = 3 is 13/15

Learn more on equations here: https://brainly.com/question/13763238

two tanker contains 700 L + 750 mL of milk respective find the maximum capacity of a container which the musical each container exact number of time ​

Answers

Answer:

350L 375ML

Step-by-step explanation:

please help asap…………

Answers

Answer: linear

Step-by-step explanation:

16.093 x 10 to the third power





HELP ME PLEASE GOD

Answers

Answer:

16093

Step-by-step explanation:

I hope this helps!

Answer:

Your answer is 6,960,212.797357.

End of Answer

Step-by-step explanation:

(19.093 * 10)^3 OR

19.093 * 10 = 190.93

190.93^3 = 6,960,212.797357

End of Step-by-step explanation

Edit: I'm probably wrong this is the actual answer: 16093

What is the fractional equivalent of the repeating decimal 04?
O A.
B.
4
100
C
D.
4
99
NEED HELP ASAP‼️‼️

Answers

Let's see

[tex]\\ \rm\rightarrowtail x=0.444\dots[/tex]

[tex]\\ \rm\rightarrowtail 10x=4.44\dots[/tex]

From both

9x=4x=4/9


Can someone please solve question 8

Answers

I’m unsure if this is it: 22.4.3592 is there options?

Answer:

22.84

Step-by-step explanation:

PLS HELP WILL MARK BRAINLIEST, PLS HURRY

Answers

multinomial, i believe
hope this helps!

Which equations are true and can be used to find the factors of 32? Check all that apply. A. 32 divided by 1 = 32 B. 32 divided by 2 = 16 C. 32 divided by 3 = 12 Or D. 32 divided by 8 =4

Answers

Answer:

A, B, D are correct

Step-by-step explanation:

A. 32 divided by 1 = 32

Works, it is correct

B. 32 divided by 2 = 16

Works, it is correct

C. 32 divided by 3 = 12

Incorrect, 12 x 3 = 36, not 32

D. 32 divided by 8 = 4

Works, it is correct

-Chetan K

A,B, and D are correct 32 divided by 3 is 10.67 so it’s not a whole number. Hopefully I helped plz rate

2^-3 x 3^-2

what’s the answer?

Answers

Answer:

1/72

Step-by-step explanation:

[tex]2^{-3} * 3^{-2} =[/tex][tex]1/2^3 * 1/3^2 =[/tex][tex]1/8*1/9=[/tex][tex]1/72[/tex]

[tex]\\ \sf\longmapsto 2^{-3}\times 3^{-2}[/tex]

[tex]\\ \sf\longmapsto( \dfrac{1}{2})^3\times( \dfrac{1}{3})^2[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{8}\times \dfrac{1}{9}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{72}[/tex]

Which of these are ways to measure a resting heart rate?
Select all that apply.

Answers

Answer:

Place the index and middle fingers on the neck to the side of the windpipe to find the pulse.

Place two fingers between the bone and the tendon over the radial artery of the wrist to find the pulse.

Step-by-step explanation:

I did a test and that was a correct answer.

Write the equation of a line that
passes through the following points
:
Point 2: (0,-8)
Point 1: (-3,0)

Answers

Answer:

[tex]y = \frac{-8}{3}x - 8[/tex]

Step-by-step explanation:

Solving for the equation of the line with two points:

Let's remind ourself of the slope - intercept formula:    [tex]y = mx + b[/tex]

We first have to find the slope of the line. This is found by using the formula :

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

We have to find the change in y (Δy) and divide it by the change in x (Δx)

We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept

Step 1: Slope

Let's use the slope formula

[tex]\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}[/tex]

Slope = -8/3

Step 2: Y - Intercept

To find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)

[tex]y = \frac{-8}{3}x + b[/tex]

[tex]0 = \frac{-8}{3}(-3) + b[/tex]

[tex]0 = \frac{24}{3} + b[/tex]

[tex]0 = 8 + b[/tex]

[tex]b = -8[/tex]

Step 3: Equation

Let's input our slope and y - intercept to the equation     [tex]y = mx + b[/tex]

Slope = -8/3

Y - Intercept = -8

Equation:    [tex]y = \frac{-8}{3}x - 8[/tex]

-Chetan K

Can someone solve this for me please? I would be very thankful <3

Answers

Answer:

running speed is horse power

so up with horse

it will tell its power

go and denge it

so you will get your answer by this process

Which of the following is a run on sentence

Answers

Answer:

B.

Step-by-step explanation:

There is no pause and the use of a connection word (and) makes the sentence seem longer. Hope this helps :) brainliest?? <3

There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 green?

Answers

Answer:

35/72

Step-by-step explanation:

(a) 35.8 + 10 need answer

Answers

[tex]⟹35.8 + 10 \\ = 45.8[/tex]

We are gonna add tge whole numbers together 35+10 which is equal 45 then we are going to add to the number tge decimal point and 8 so it’s going to be 45.8

(REPOST) STATION 3 ! 40 POINTS

Answers

Finding out how fast they are going:

Liberty Express: 128.3…mph
Mercury: 130mph
International: 123mph
Delta Eagle: 125mph
Great Valley: 130.5mph

Order:

International
Delta Eagle
Liberty Express
Mercury
Great Valley

Answer:

Great valley

Mercury

Liberty

Delta

International

Step-by-step explanation:

Liberty Express: 128.333

Mercury speed: 130

International speed: 122.666666

Delta Eagle speed: 125

Great Vally speed: 130.5

distance/time=speed

Order:

Great valley

Mercury

Liberty

Delta

International

Michaela and Aleah play on the same basketball team. In one game Michaela scored one fifth of the team's points and aleah scored one tenth's of the team's points. Together the scored a total of 42 points. How many points did the team score?

Answers

Together they scored 3/10 of the teams total points (since 1/5 = 2/10). Knowing this you can find what 1/10 of the total points scored was by dividing 42 by 3. That gives you 14, now that you know what 1/10 of the points scored was you can find the total points by completing the fraction and multiplying 14 by 10. This gives a total of 140 points scored by the team
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