Question 61991: 3x + y = 5
4x - 7y = -10
Answer by hotrodd(18)   (Show Source):
You can put this solution on YOUR website! First, multiply all of equation one by -2 so that both of the equations have the same answer. So you should have:
-6x - 2y = -10
4x - 7y = -10
Then, substitute the -10 in the first equation with 4x - 7y from the second equation:
-6x - 2y = 4x - 7y
Next, add 6x and 7y to both sides of the equation:
5y = 10x
Now, divide both sides of the equation by 5 to get:
y = 2x
Substitute 2x with the y in equation #1:
3x + 2x = 5
Combine like terms:
5x = 5
Divide each side by 5
x = 1
Now, substitute 1 for the x in equation #1:
3(1) + y = 5
Subtract each side by 3:
y = 2
YOUR ENDING ANSWER IS x = 1 AND y = 2
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