Question

what is the solution of the system of equations graphed below


y=4x+11
y=-2x-1

Answer 1

im trying to post the graph but it wont let me -.-

Answer 2

y = 4x + 11
sub 4x + 11 in for y in the other equation
y = -2x - 1
4x + 11 = -2x - 1 (add 2x to both sides)
4x + 2x + 11 = -1 (subtract 11 from both sides)
4x + 2x = -1 - 11 (combine like terms)
6x = -12 (divide by 6)
x = -2
Now sub -2 in for x in either of the equations
y = 4x + 11
y = 4(-2) + 11
y = -8 + 11
y = 3
check..
y = 4x + 11
3 = 4(-2) + 11
3 = -8 + 11
3 = 3 (correct)

x = -2 and y = 3 or (-2,3)

Answer 3

thank you (: