Question

Question 1) Use the linear combination method to solve the system of equations. Explain each step of your solution. 2x - 3y = 13, x + 2y = -4. ( I'll post a picture of the question and problem incase there's any confusion). Will Mark Brainliest.​

Answer 1

Answer:

x = 2 and y = -3

Step-by-step explanation:

The given equations are:

2x - 3y = 13 ...(1)

x + 2y = -4 ...(2)

Multiply equation (2) by 2.

2x + 4y = -8 ...(3)

Subtract equation (3) from (1).

2x - 3y-(2x + 4y) = 13-(-8)

2x-3y-2x-4y = 13+8

-7y = 21

y = -3

Put the value of y in equation (2).

x + 2(-3) = -4

x-6=-4

x = 6-4

x = 2

So, the solution of the given equations are x = 2 and y = -3.