Question

Determine the number of solutions for the system of equations y=2/3x+4 and y=2/3-x2

Answer 1

2/3x+4=2/3-2x

2/3x-(-2x)

2/3x+2x

2 2/3x+4=2/3

2/3-4=-3 1/3

2 2/3x=-3 1/3

(3 1/3)/(2 2/3)=1 1/4

x = 1 1/4

y=2/3-2x

y=2/3-2(2/3)

y=2/3-4/3

y=-2/3

The answer is (1 1/4, -2/3)