SOLUTION: -15x+7y=1 3x-y=1

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Question 859689: -15x+7y=1
3x-y=1

Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
-15x+7y=1
3x-y=1
.
In the second equation, isolate y by subtracting 3x from each side.
-y = 1-3x
Multiply each side by -1
y = 3x-1
.
Substitute the known value of Y into the first equation.
-15x + 7(3x-1) = 1
Distribute
-15x +21x - 7 = 1
Add Xs
6x -7 = 1
Add 7 to each side
6x = 8
Divide
x = 8/6
.
If x = 8%2F6, then y=3x-1, or 24%2F6-1, or 4-1, or 3.
.
Let's put the numbers back into the first equation to see if it works.
-15x+7y=1
-15(8%2F6 + 7(3) = 1
-120%2F6 + 21 = 1
-20 + 21 = 1
Success!