Question

What is the solution to the system of equations? Use the substitution method. {y=2x+43x−6y=3

Answer 1

We have that
y=2x+4--------> equation 1
3x−6y=3-------> equation 2

step 1
I substitute the value of y in equation 1 for the value of y in equation 2
so
3x−6*[2x+4]=3-------> 3x-12x-24=3
-9x=3+24
-9x=27------> 9x=-27
x=-27/9
x=-3

step 2
I substitute the value of x in equation 1 to get the value of y
y=2x+4--------> y=2*(-3)+4--------> y=-6+4
y=-2

the answer is 
the solution is the point (-3,-2)
x=-3
y=-2