Answer:
solution is (- 2, 2 )
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The lines intersect at (- 2, 2 )
Then the solution is (- 2, 2 )
As a check
substitute the coordinates of the solution into the equations and check their validity.
2x - 3y = 2
left side = 2(- 2) + 3(2) = - 4 + 6 = 2 = right side
y = [tex]\frac{1}{2}[/tex] x + 3 = [tex]\frac{1}{2}[/tex] (- 2) + 3 = - 1 + 3 = 2
Thus the solution is (- 2, 2 )
