### Home > INT1 > Chapter 6 > Lesson 6.4.2 > Problem6-134

6-134.

What is the point of intersection of the graph of each set of equations below? Use any method and show your work. Check your solutions, if possible.

1. $6x-2y=10$
$3x-5=y$

Try the substitution method.

$6x-2(3x-5)=10$

Solve for $x$, then solve for $y$.

1. $6x-2y=5$
$3x+2y=-2$

Use elimination method.

$6x − 2y = 5 \\ \underline{3x + 2y = −2} \\ \quad \quad \;9x = 3$

1. $5-y=3x$
$y = 2x$

Either the elimination or substitution method would work well here. Be sure to solve for $y$ and check the solution.

1. $y = \frac { 1 } { 4 }x+5$
$y=2x-9$

Use the equal values method and then eliminate the fraction by multiplying each term by $4$.