Question

Solve the following system using the elimination method.
3x+2y=1
2x-y=10

Answer 1

Step 1 : Multiple both sides by 2

3x + 2y = 1

4x - 2y = 20

Step 2 : Eliminate 1 variable by adding the equations

7x = 21

Step 3 : Divide both sides by 7 to solve for x

x = 3

Step 4: Substitute the value of x into 3x + 2y = 1

3(3) + 2y = 1

Step 5: Solve for y

2y = 1 - 9

2y = -8

*divide by 2

y = - 4

Solution:

(x,y) = (3, -4)