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To answer this, I'll use an example:
Say you're equations are both in slope-intercept form:
y = 3x + 5
y = x + 7
You substitute one equation into another (since y = y, you can set it up in the same equation).
x + 7 = 3x + 5
Subtract variables.
7 = 2x +5
Subtract numbers.
2 = 2x
Divide.
1 = x
You could also have a problem with one or two standard form equations. First, make sure you have at least one slope-intercept equation. Here's an example:
3x - 2y = 20
y = x + 15
Substitute the slope-intercept equation into y (because y = y).
3x - 2(x + 15) = 20
Distribute.
3x- 2x - 30 = 20
Like terms!
x - 30 = 20
Add 30 to both sides.
x = 50
For both equations, you can substitute your solution into one of the equations to find the other variable.
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