Question

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

Answer 1

Answer:

(- 4, 5 )

Step-by-step explanation:

Given the 2 equations

y = $\frac{1}{2}$ x + 7 → (1)

y = - $\frac{3}{4}$ x + 2 → (2)

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

$\frac{1}{2}$ x + 7 = - $\frac{3}{4}$ 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 = $\frac{1}{2}$ (- 4) + 7 = - 2 + 7 = 5

Solution is (- 4, 5 )