SOLUTION: Solve by substitution method 7x+8y=36 X=60-8y Thank you

Question 320219: Solve by substitution method
7x+8y=36
X=60-8y
Thank you
Found 3 solutions by rfer, stanbon, Sunny Day:
Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
7(60-8y)+8y=36
420-56y+8y=36
-48y=-384
y=+8
------------------
7x+8*8=36
7x=-28
x=-4
--------------
-4=60-8*8
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Solve by substitution method
7x+8y=36
X=60-8y
-----
Substitute for "x" and solve for "Y":
7(60-8y) + 8y = 36
---
7*60 - 56y + 8y = 36
-48 = -384
-------
y = 8
---
Since x = 60-8y, x = 60-8*8 = -4
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Cheers,
Stan H.
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Answer by Sunny Day(15)   (Show Source): You can put this solution on YOUR website!
7x+8y=36 ----------- (1)
x=60-8y ------------(2)
(2) gives an equation for x and hence we can substitute this value in place of x in (1)
So (1) becomes 7(60 - 8y) + 8y = 36 which is an equation in one variable.
Simplifying, 7X60 - 7X8y +8y = 36
420 - 56y + 8y =36
-48y =36 - 420
-48y = -384
y = -384/-48
i.e y = 8
So x = 60 - 8X8 (putting y=8 in (2))
x = 60 - 64 = -4
Hence x = -4 and y = 8 is the required solution

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