SOLUTION: Can you help me with this problem? If you can show me the steps by step I think I can help my daughter with her homework. y = 5x

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Question 245681: Can you help me with this problem? If you can show me the steps by step I think I can help my daughter with her homework.
y = 5x - 10
y = 3x + 8
Found 2 solutions by TheProdicalSon, stanbon:
Answer by TheProdicalSon(34) (Show Source):
You can put this solution on YOUR website!
Get both the x and the y on the same side
y - 5x = -10
y - 3x = 8
Multiply the bottom equation by -1 to help eliminate the y
y - 5x = -10
-y + 3x = -8
Add the equations together
-2x = -18
x = 9
insert the x into the previous equations
y = 45 - 10
y = 27 + 8
y = 35
x = 9

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Can you help me with this problem? If you can show me the steps by step I think I can help my daughter with her homework.
y = 5x - 10
y = 3x + 8
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Since both 5x-10 and 3x+8 are equal to "y", they must be
equal to each other. That gives you an equation with one
variable.
-------------------------
Equation:
5x-10= 3x+8
Subtract 3x from both sides to get:
2x-10 = 8
Add 10 to both sides to get:
2x = 18
Divide both sides by 2 to solve for "x":
x = 9
------
Since y = 3x+8, y = 3*2+8, y = 6+8, y=14
--------------------------------------------
Final Solution: (9,14)
============================
Cheers,
Stan H.

SOLUTION: Can you help me with this problem? If you can show me the steps by step I think I can help my daughter with her homework. y = 5x - 10 y = 3x + 8