Question

Ian solved the system of equations by making a substitution for y in the second equation.

What equation did he get as a result of that substitution?

y = –3x + 1
5x – 2y = 31

Answer 1

5x + 6x + 1 = 31
5x + 6x – 2 = 31
–15x + 5x = 31
–15x – x = 31

Answer 2

since y is already solved for in the first equation, we can take the second equation and replace that value of "y" on it, so it would look like this;
\[5x-2(-3x+1)=31\]
and doing the distributive:
\[5x+6x-2=31\]
and operating similar terms:
\[11x-33=0\]
And that counts as the equation he would obtain if he did obtain as a result of the sustitution.