### Home > CCAA8 > Chapter 4 Unit 5 > Lesson CCA: 4.3.1 > Problem4-98

4-98.

Find the point of intersection for each set of equations below using any method. Check your solutions, if possible.

1. $6x−2y=10$
$3x−5=y$

Substitution is one way to solve this system.
$6x−2(3x−5)=10$:

Distribute the left side.
$6x−6x+10=10$

Combine like terms.
$10=10$

All numbers

1. $6x−2y=5$
$3x+2y=-2$

Elimination is one method to solve this system.

$\left(\frac{1}{3},-\frac{3}{2}\right)$

1. $5−y=3x$
$y=2x$

Use substitution. Check your work.

1. $y=\frac{1}{4}x+5$
$y=2x−9$

Use the Equal Values method.