Solve the system of linear equations by elimination. 10x-9y=46 and -2x+3y=10

Answers

Answer 1

Answer:

y=16 and x=19

Step-by-step explanation:

Let's solve your system by elimination.

−2x+3y=10;10x−9y=46

Multiply the first equation by 5,and multiply the second equation by 1.

5(−2x+3y=10)

1(10x−9y=46)

Becomes:

−10x+15y=50

10x−9y=46

Add these equations to eliminate x:

6y=96

Then solve6y=96for y:

6y=96

6y

6

=

96

6

(Divide both sides by 6)

y=16

Write down an original equation:

−2x+3y=10

Substitute16foryin−2x+3y=10:

−2x+(3)(16)=10

−2x+48=10(Simplify both sides of the equation)

−2x+48+−48=10+−48(Add -48 to both sides)

−2x=−38

−2x

−2

=

−38

−2

(Divide both sides by -2)

x=19

Answer:

x=19 and y=16

Answer 2

The value of x and y on solving a system of linear equations 10x - 9y = 46 and -2x + 3y = 10 by elimination are 19 and 16 respectively.

What is equation?

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given equations:

10x - 9y = 46                              (1)

-2x + 3y = 10                             (2)

Multiply equation 2 by 3

3 (-2x + 3y) = 10 × 3  

-6x + 9y  = 30                               (3)

Add equation 3 and equation 1

10x - 9y + (-6x) + 9y = 46 + 30

4x = 76

x = 76 / 4 = 19

Put x = 19 in equation 2

-2 × 19 + 3y = 10

3y = 10 + 38

y = 48 / 3

y = 16

Therefore, the value of x and y on solving a system of linear equations 10x - 9y = 46 and -2x + 3y = 10 by elimination are 19 and 16 respectively.

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Related Questions

SOMEONE HELP ME PLSS !

Answers

5 x 8 x 2 = 80 .
volume = length x width x depth
I think it’s 80 I’m sorry if you get it wrong though:)

please help will give brainliest

Answers

Answer:

C

Step-by-step explanation:

AE = 14.6 I think. If I'm wrong, use whatever number it is.

Sin(x) = 5/14.6

Sin(x) = 0.3425

x = Sin-1 (0.3425)

x =20.03

Now the other larger triangle has an acute angle of 90 -20.03 =  69.97

===================

Cos(69.97) = 13.1/DE

DE = 13.1/cos(69.97)

DE = 38.25

Clean123 Inc. performs 1,000 of cleaning services for a customer. After 30 days the computer pays 50% of the invoice with a check. How will this transaction be recorded

Answers

did you get ittttt???

please help me out

PLS HELP MEEEEEEEEEE :(

Answers

Answer: c

Step-by-step explanation:

A

It’s A because it’s a normal slope intercept form equation so if u graph it it’ll just be an infinite line showing all the solutions aka all the points on the line

Carlota’s smartphone contains 500 megabytes of data. She uses 300 megabytes for applications and the rest for music. If each song takes an average of 4 megabytes, which equations can be used to find the number of songs on Carlota’s smartphone? Select all that apply. A. 500−300=4n B. 500+300=4n C. 4n+300=500 D. 300−4n=500

Answers

Answer: A:500-300=4n and C:4n+300=500

Step-by-step explanation:

You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.

The following payroll deductions were taken from your gross pay:

Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.

You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.

check stub

The amount for TOTAL DEDUCTIONS for this pay period was $
Blank.

Answers

Answer:

18.135

Step-by-step explanation:

30*9.75=292.5

6.2%*292.5=18.135

What is f(1/2)? (1 over 2)

Answers

5 is the correct answer

For the trinomial x^2-11x+10 determine if the factors of c will will be both positive, both negative, or opposite signs.

Answers

Answer:

Two negatives

Step-by-step explanation:

I'm assuming by 'factors of c' you mean factors of the last term. For the entire trinomial, we know that there are two negative signs. To be able to get a negative 11x and then a positive 10, we would need two negatives, since two negatives equal a positive. Hope that helps!

If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point
(2,5)
(-5, -2)
(2,-5)
(-2,5)

Answers

Answer:

the second one

Step-by-step explanation:

b ^ 2 - 4b - 14 = 0

Answers

b^2 -4b -14= 0
For this equation: a=1, b=4, c=-14
Use the quadratic formula and plug in the values^
Answer: 2 + 3 square root of 2, 2 - 3 square root of 2

Which is an irrational number

Answers

Answer:

D

Step-by-step explanation:

Because pi never ends.

Hence, D (π) is a irrational number.

6 pounds of candy cost $22.44 how much does it cost of 10 pounds

Answers

ANSWER:
$37.40
This is because
22.44/6= 3.74
and 3.74*10= 37.4
So answer is:
$37.40

Answer:

10 pound=$37.4

Step-by-step explanation:

$22.44 divide by 6 = one pound $3.74

$3.74*10= $37.4

Pls help I’ll give brainliest

Answers

Answer:

B.

yeah. thats the answer.

Write an equation in slope-intercept form for the line that has a slope of 12 and passes through the point (3, 20).

Answers

Answer:

Step-by-step explanation:

It's a simple question as we know:

y-y1=m(x-x1)

y-20=12(x-3)

y=12x-36+20

y=12x-16

Now, your line is in slope intercept form you can compare it with

y=mx+c

m=12 and c=16. You can also put your point to verify your answer.

JEJEISHEVEHSUEHRH PLEASE ✋✋✋✋

Answers

red- 2
green- 3
yellow - 1
blue- 4

Solve the system of equations by the substitution method.
y=5x+8 y=8x+9
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

Answers

Answer:

whichever one corresponds with the answers you have will be right.

If the measure of two sides of the triangle are 3 feet's and 7 feet's, which is the least possible whole number measure for the third side

Answers

Answer:

5 feet

Step-by-step explanation:

By triangle inequality, the sum of lengths of any two sides has to be strictly greater than the length of the third side.

Let x feet be the length of the third side.

We have 3+x>7, x+7>3 and 3+7>x.

Solving these, we get x > 4, x > -4 and x < 10.

The solution is therefore 4 < x < 10 and the smallest whole number which satisfies the inequality is 5.

Therefore the answer is 5 feet.

PLEASE HELP me!!! can give brainliest!


Joyce would like to invest her money in a savings account. The function A (t) = 900(1.03)^t represents the amount of money joyce will have in her savings account after t years. How long will it take Joyce to have $1200 in her account? Around your answer to the nearest tenth of a year. ( use desmos )

Answers

Answer:

9 years ( approximately)

Step-by-step explanation:

900(1.03)^t = 1200

(1.03)^t= 1.33

( 1.03)^t= ( 1.03)^9

So, t= 9

Num. 3 What is the name of the ray shown?

Answers

Answer:

I believe the answer is C

Step-by-step explanation:

Because lines with arrows at the end means the line is continuing. Let me know if this is right . I hope I helped! :)

Answer:

the answer to this question is (C)

Step-by-step explanation:

Simplify the following expression

3x+4-2x-6

Answers

Answer: X-2
Explanation: 3x-2x=X. 4-6=-2

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Craig's Bakery recently spent a total of $311 on new equipment, and their average hourly operating costs are $9. Their average hourly receipts are $10. The bakery will soon make back the amount it invested in equipment. How many hours will that take? What would the total expenses and receipts both equal?

Answers

Answer:

a. 311 hours

b. i. $3,100 in receipts  

   ii. $2,799 in expenses.

Step-by-step explanation:

a. The company is making $10 per hour and spending $9 an hour. Their profit is therefore:

= 10 - 9

= $1 per hour

Since they spent $311 on the new equipment, the amount of time it would take for them to make this back is:

= 311 / 1

= 311 hours

b. In 311 hours, the total receipts would be:

= 311 * 10

= $3,110

The expenses would be:

= 311 * 9

= $2,799

Solve for x. Look at the image attached thanks.

Answers

Answer:

x=2.2

Step-by-step explanation:

You know that for triangle ABC, side AB=10, CB=2 and AD=AB+BD=10+1=11. Given that triangles ABC and AED have the same angles, they are similar triangles.

So we can use the following ratios to solve for ED=x:

James is solving a number puzzle that involves three integers, a, b, and c, where c
is a positive integer. The product of A and B is 6. The product of a and c is – 4.
The product of b and c is -6.



Please help!!!

Answers

Answer:

a = -2, b = -3, c = 2

Step-by-step explanation:

We have the following three equations.

ab = 6

ac = -4

bc = -6

Multiply equation 2 and 3, we get

abc^2=24

Dividing it by the first equation, we get

c^2=4

c=2 or -2 (rejected since c is a positive integer)

We can then substitute c=2 into the equations, and find out that a = -2 and b = -3.

I need help and for the other select it’s are or are not

Answers

Answer:

Step-by-step explanation:

It's clear from the graph that the angles of the given triangles are different.

And for similarity of two triangles, at least two angles of the triangles should be congruent.

Therefore, both the triangles are not similar.

The angles are DIFFERENT.Since similarity transformations preserve angle measures, ΔUVW and ΔGHI ARE NOT similar.

Does anyone the the answer for this ?:)

Answers

Answer:

69.08

Step-by-step explanation:

C=2πr

Brainly plss

Which of the following values for x is true for 4x > 10?
3
O x=
4
O x = 2
O x = 2.5
OX= 3

Answers

Answer: X=3 X=4 I don’t know if this is multiple choice but those two are correct

Someone pls pls answer this ill mark u brainliest

Answers

Answer:

[tex]m\angle CBD=35^{\circ}[/tex]

Step-by-step explanation:

Since there are [tex]180^{\circ}[/tex] on each side of a line and [tex]\angle ABC[/tex] is marked as a right angle, [tex]m\angle CBE=180-90=90^{\circ}[/tex].

[tex]m\angle CBE=m\angle DBE+m\angle CBD[/tex], and [tex]m\angle DBE[/tex] is given as [tex]55^{\circ}[/tex].

Therefore, we can plug in our values and solve:

[tex]90=55+m\angle CBD,\\m\angle CBD=\fbox{35^{\circ}$}[/tex].

Help please! I’m bad at math

Answers

Answer:

The answer should be 40

Step-by-step explanation:

85+55=140

180-140=40

Please help!!
How do I rewrite this expression into radical form??

Answers

i think this should be right

Rewrite in simplest terms: -3(-10d+8)+3d−3(−10d+8)+3d

Answers

-3(-10d + 8) + 3d - 3(-10d + 8) + 3d
= 30d - 24 + 3d + 30d - 24 + 3d
= (combining like terms)
= 30d + 3d + 30d + 3d - 24 - 24
= 66d - 48
= 66d/6 and -48/6
= 11d - 8
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