Answer
One solution
Work Step by Step
1. Simplify both equations to slope-intercept form ($y=mx+b$).
2. For the first equation ($5x+4y=6$), subtract $5x$ on both sides then divide by 4 on both sides with a result of $y=\frac{-5}{4}x + 2.5.$
3. Also solve the other equation for y by subtracting x from both sides then multiplying both sides by -1. The end result is $y=x-3.$
4. Since both equations have different slopes and y-intercepts and are still linear, they must intersect at one point. So there is one solution to the system.
