Question

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

Answer 1

x = 1/2

y = 4

Explanation:

Given equations:

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

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

Multiply Eq. (1) by 2

2(2x + 3y) = 13 × 2

4x + 6y = 26 -------------------(3)

Subtract Eq. (3) from Eq. (2)

4x - y - 4x - 6y = -2 - 26

-y - 6y = -28

-7y = -28

7y = 28

Divide 7 to both sides

y = 4

Put y = 4 in Eq. (2)

4x - 4 = -2

Add 4 to both sides

4x = -2 + 4

4x = 2

Divide 4 to both sides

x = 2/4

x = 1/2

`\rule[225]{225}{2}`