SOLUTION: x-7y=46 2x-7y=43

Question 262867: x-7y=46
2x-7y=43
Answer by pinklipgloss2007(6) (Show Source): You can put this solution on YOUR website!
If you are looking for the values of x and y:
We first solve one of the equations for either x or y and plug that value into the other equation in place of that value.
x-7y=46
Add 7y to both sides.
x=46+7y
So now we take the 2nd equation and everywhere we see an 'x' we plug in 46+7y.
2(46+7y)-7y=43 We distribute the 2.
92+14y-7y=43 Add 14y and -7y.
92+7y=43 Subtract 92 from both sides.
7y=-49 Divide both sides by 7 to isolate the y.
The 7's on the left side of the equal sign will cancel and you will be left with:
y=-49/7
y=-7
So now we know the exact value of y!
We can now go back to the 1st equation and plug in -7 for y!
x-7(-7)=46 Multiply 7 and -7
x+49=46 Subtract 49 from both sides of the equation.
x=-3
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