Question

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

Answer 1

x =
`(1)/(2)` , y = 4

Explanation:

2x + 3y = 13 → (1)

4x - y = - 2 → (2)

multiplying (2) by 3 and adding to (1) will eliminate y

12x - 3y = - 6 → (3)

add (1) and (3) term by term to eliminate y

(2x + 12x) + (3y - 3y) = 13 - 6

14x + 0 = 7

14x = 7 ( divide both sides by 14 )

x =
`(7)/(14)` =
`(1)/(2)`

substitute x =
`(1)/(2)` into either of the 2 equations and solve for y

substituting into (1)

2 (
`(1)/(2)` ) + 3y = 13

1 + 3y = 13 ( subtract 1 from both sides )

3y = 12 ( divide both sides by 3 )

y = 4

solution is x =
`(1)/(2)` , y = 4