Solve this system of linear equations without graphing:
5x + 4y= 8
10x – 4y = 46

x=3.6; y=-2.5

Step-by-step 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.