Question

Find the points of intersection of the graphs of the equations.

Answer 1

To find the point of intersection, just solve for x and y in the equations

so since x - y = -5

x = y - 5

now that we have a value of x, we will substitute x with in in the other equation

5x + 3y = -9

5(y-5) + 3y = -9

5y - 25 + 3y = -9

8y = 16

y = 2

now use this value of y in the equation we made for x

x = y - 5

x = 2 - 5

x = -3

Hence, the point of contact is (-3 , 2)