# Math

Can someone help me solve the following problems using the substituion method? I need to find the ordered pairs and I do not get it.... Here they are

1)
6m+n=47
m-4n=12

2)
6x+4y=-10
-7x+y=57

3)
5x+7y=43
-4x+y=25

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1. I use substitution when I notice that in one of the equations one of the variables has a coefficient of 1
Then solve for that single variable
e.g. in #2
-7x + y = 57 ,
y = 7x + 57

now sub that into the other equation
6x + 4y = -10
6x + 4(7x+57) = 10
6x + 28x + 225 = 10
34x = - 218
x = -218/34 = - 109/17
then y = 7(-109/17) + 57
y = 206/17

do the other two the same way

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2. Okay but the homework is saying the answer is (-7,8) so how would they have gotten that from the equation you did above?

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3. I made a transcript error.

After 6x + 4(7x+57) = 10 it should have been
6x + 28x + 228 = -10

Now i works out

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4. Okay so what about number one it is a + and the a - for the second problem how do you figure a subtitution problem like that? do the signs make a difference?

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5. For number 3 I got (6.7,51.8) is this correct?

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