SOLUTION: How do you solve the following problems using the substitution method? The end result should be a set of (x,y) coordinates. 4x-y=5 x=8-2y -7x+y=32 2x+3y=27 2x+y=5 4x-3

Question 230317: How do you solve the following problems using the substitution method? The end result should be a set of (x,y) coordinates.
4x-y=5
x=8-2y
-7x+y=32
2x+3y=27
2x+y=5
4x-3y=-10
4x+2y=7
x-5y=10
2x-y=2
x+2y=18.5
If you could solve any or all that would be great! Thanks!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How do you solve the following problems using the substitution method? The end result should be a set of (x,y) coordinates.
4x-y=5
x=8-2y
-----------------
Since x = 8-2y substitute that into the 1st equation and solve for "y":
4(8-2y)-y = 5
32-8y-y = 5
27 = 9y
y = 3
--------------
Since x = 8-2y, x = 8-2(3) = 2
--------------
Solution:
(2,3)
====================================
-7x+y=32
2x+3y=27
-------------
Solve the 1st equation for "y"
y = 7x+32
Substitute that into the 2nd equation and solve for "x":
2x + 3(7x+32) = 27
2x + 21x + 96 = 27
23x = -69
x = -3
----------------
Since y = 7x+32, y = 7(-3)+32 = 11
-------------------
solution: x = -3; y = 11
=====================================
Cheers,
Stan H.

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