Question

Solve the system of equations by substitution.
3x+2y=10 y=3x-4
x= y=​

Answer 1

x=2; y=2

Explanation:

3x+2y=10

y=3x-4

We can substitute y from the first equation with the second equation:

3x+2(3x-4)=10

3x+6x-8=10

9x=18

x=2

Now plug this in to any of the equations (i used second equation):

y=3(2)-4

y=6-4

y=2

Check your answers:

y=3x-4

2=3(2)-4

2=6-4

2=2