Answer:
(- 4, 5 )
Step-by-step explanation:
Given the 2 equations
y = [tex]\frac{1}{2}[/tex] x + 7 → (1)
y = - [tex]\frac{3}{4}[/tex] x + 2 → (2)
Since both equations express y in terms of x, equate the right sides
[tex]\frac{1}{2}[/tex] x + 7 = - [tex]\frac{3}{4}[/tex] 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 = [tex]\frac{1}{2}[/tex] (- 4) + 7 = - 2 + 7 = 5
Solution is (- 4, 5 )
