Answer: x=3.6; y=-2.5
Explanation:
To solve this pair of equations, we can use elimination method.
5x+4y=8
10x-4y=46
Add both equations together to cancel out 4y.
15x=54 [divide both sides by 15]
x=3.6
Now that we know x, we can plug it back into any equation to find y.
5(3.6)+4y=8 [multiply]
18+4y=8 [subtract both sides by 18]
4y=-10 [divide both sides by 4]
y=-2.5
Now, we have x=3.6 and y=-2.5.