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8x-7y=42

24x+y=170

An easy way to begin is to solve for one variable in one of your two equations. I will use the second equation to solve for y:

24x+y=170

y=170-24x

This solution for y will then be plugged into the first equation so the equation will be of one variable, and therefore solvable:

8x-7y=42

8x-7(170-24x)=42

8x-1190+168x=42

176x=1232

x=1232/176=7

x=7

The solution we made for y can now be used with the solved value of x to find y's numerical value.

y=170-24x

y=170-24(7)

y=170-168

y=2

So, finally, we get that x=7 and y=2

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Q: 8x-7y equals 42 and 24x plus y equals 170 what is x and y?
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