Question

Solve the simultaneous equations on paper write down the coordinates of the points where the two graphs meet

y=x^2+19x+49
y=5x+4

Answer 1

Explanation:

Since they are both equations for 'y' ...you can just equate and solve

x^2 + 19x + 49 = 5x + 4 subtract 5x + 4 from both sides

x^2 + 14x + 45 = 0 Use quadratic formula

with a = 1 b= 14 c = 45

to find the two 'x' coordinates -5 and -9

Use these values in either equation to calculate

the 'y' coordinates : -21 and -41

(-5,-21) and ( -9, -41)

Here is a graph for verification: