The Topical Juggernaut
From: The Write Side of The Brain |
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IP:
Ok heres how you do them both:
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In this instance we replace "v" with "x" and we replace "u" with "y".
x = y -5
x = 3y +7
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EXAMPLE =NOT THE SAME PROBLEM, BUT THIS IS THE METHOD USED=
1. Solve one of the equations for either "x =" or "y =".
This example solves the second equation for "y =".
3y - 2x = 11
y = 9 - 2x
2. Replace the "y" value in the first equation by what "y" now equals. Grab the "y" value and plug it into the other equation.
3(9 - 2x) - 2x = 11
3. Solve this new equation for "x".
(27 - 6x) - 2x = 11
27 - 6x - 2x = 11
27 - 8x = 11
-8x = -16
x = 2
4. Place this new "x" value into either of the ORIGINAL equations in order to solve for "y". Pick the easier one to work with!
y = 9 - 2(2)
y = 9 - 4
y = 5
5. Check: substitute x = 2 and y = 5 into BOTH ORIGINAL equations. If these answers are correct, BOTH equations will be TRUE!
3y - 2x = 11
3(5) - 2(2) = 11
15 - 4 = 11
11 = 11 (check!)
y + 2x = 9
5 + 2(2) = 9
5 + 4 = 9
9 = 9 (check!)
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