Question

What’s the solution of Y=1/2x+7 y=-3/4x+2

Answer 1

(- 4, 5 )

Explanation:

Given the 2 equations

y =
`(1)/(2)` x + 7 → (1)

y = -
`(3)/(4)` x + 2 → (2)

Since both equations express y in terms of x, equate the right sides

`(1)/(2)` x + 7 = -
`(3)/(4)` x + 2

Multiply through by 4 to clear the fractions

2x + 28 = - 3x + 8 ( add 3x to both sides )

5x + 28 = 8 ( subtract 28 from both sides )

5x = - 20 ( divide both sides by 5 )

x = - 4

Substitute x = - 4 into either of the equations and solve for y

Substituting x = - 4 into (1)

y =
`(1)/(2)` (- 4) + 7 = - 2 + 7 = 5

Solution is (- 4, 5 )