### Home > INT3 > Chapter 3 > Lesson 3.1.2 > Problem3-44

3-44.

Consider the system of equations below.

$3y-4x=-1\\9y+2x=4$

1. Solve this system algebraically.

Multiply the first equation by $−3$, then use the Elimination Method.
Then substitute the value found for $x$ into one of the equations and solve for $y$.

2. Where do the graphs intersect?

The graphs intersect at points whose coordinates are the solution to both equations.

3. Explain the relationship between parts (a) and (b).

See part (b).