Question

Can someone help me find the solution or coordinates of these equations algebraically ?

y= -x^2 +4
y= 3x+4

Answer 1

The solutions are (0, 4) and (-3, -5).

Explanation:

Yes, first substitute y = 3x + 4 in the first equation:

3x + 4 = -x^2 + 4

x^2 + 3x = 0

x(x + 3) = 0

x = 0, -3

When x = 0 , y = -(0)^2 + 4 = 4 and

when x = -3 , y = -(-3)^2 + 4 = -9 + 4 = -5.