Question 377179: Solve using the substitution method:
x-y=5 x+2y=7
I came up with 15y=7
Answer by nyc_function(2741)   (Show Source):
You can put this solution on YOUR website! x-y = 5...equation 1
x+2y=7....equation 2
x - y = 5
-y = -x + 5
y = (-x + 5)/-1
y = x - 5
Plug (x - 5) for y into equation 2 and solve for x.
x + 2y = 7
x + 2(x - 5) = 7
x + 2x - 10 = 7
3x - 10 = 7
3x = 7 + 10
3x = 17
x = 17/3
We now plug 17/3 into EITHER equation 1 or 2 to find the value of y.
I will use x - y = 5 but you can use the other equation if you'd like.
17/3 - y = 5
-y = 5 - 17/3
-y = -2/3
y = -2/3 divided by -1
y = 2/3
Final answer: x = 17/3 and y = 2/3 which can also be written as a point in the form (17/3, 2/3).
That is the point where the two lines meet on the coordinate plane.
Understand?
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