### Home > CCA > Chapter 4 > Lesson 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. Homework Help ✎

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. $6x−2y=10$
$3x−5=y$

Elimination is one method to solve this system.

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

1. $5−y=3x$
$y=2x$

1. $y=\frac{1}{4}x+5$
$y=2x−9$