### Home > INT1 > Chapter 6 > Lesson 6.4.2 > Problem6-142

6-142.

Solve the systems of equations below using the method of your choice. Check your solutions, if possible.

The Substitution Method can be used to solve both of these systems.

1.  \begin{aligned}[t] &y = 7 - 2x \\ &2x + y = 10 \end{aligned}

Substitute '$7-2x$' for $y$ in '$2x+y=10$.'

$2x+(7-2x)=10$

Solve for $x$. What do you notice about this system?

$7\ne10$

1.  \begin{aligned}[t] & 3y - 1 = x \\ & 4x - 2y = 16 \end{aligned}

Follow the steps in part (a), but substitute
'$3y-1$' for $x$ in '$4x-2y=10$.'