Answer:
(1.16, 5.16) and (-2.16, 1.84) to the nearest hundredth.
Step-by-step explanation:
By substitution. You substitute y = x + 4 into the second equation:
x + 4 = 2x^2 + 3x - 1
2x^2 + 2x - 5 = 0
x = [ -2 +/- sqrt (2^2 - 4*1*-5) ] / 2*2
= -1/2 +/1 sqrt 24/4
= 1.158 , - 2.158
When x = 1.158 , y = 1.158 + 4 = 5.158
When x = -2.158, y = -2.158 + 4 = 1.842.