What is the solution to the system of equations below? y = one-half x minus 4 and y = negative 2 x minus 9
y = (1/2)x - 4
y = -2x - 9
Set the y's equal
(1/2)x - 4 = -2x - 9 add 2x, 4 to both sides
(1/2 + 2)x = - 5
(5/2) x = -5 multiply both sides by (2/5)
x = -5(2/5) = -2
And y = -2 (-2) - 9 = 4 - 9 = -5