Question

x=2y-6;y=3x-7
substitution to solve systems of equations​

Answer 1

Answer:

As you said, we can solve this system for y by using substitution.

$x = 2y - 6\\y = 3x - 7\\\\y = 3(2y - 6) - 7\\\\y = 6y - 18 - 7\\\\y = 6y - 25\\\\-5y = -25\\\\y = 5$

Now, using what we got for y, we plug it into one of the original equations to solve for x.

$x = 2(5) - 6\\\\x = 10 - 6\\\\x = 4$

Now we have the solution of this system.

$(4, 5)$