SOLUTION: Solve the system of linear equations by substitution. Check your solution. x = 5y + 3 2x + 4y = -1

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Question 1073636: Solve the system of linear equations by substitution. Check your solution.
x = 5y + 3
2x + 4y = -1

Answer by ikleyn(52858)   (Show Source): You can put this solution on YOUR website!
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Solve the system of linear equations by substitution. Check your solution.
x = 5y + 3
2x + 4y = -1
~~~~~~~~~~~~~~~~~~~~~

Hey, you are lucky !  They just did a part of the work for you.

Look into the first equation: they just expressed x via y in it.

So, they made our work easier.

Substitute the expression x = 5y + 3 from the first equation to the second one. You will get a single equation for y:

2*(5y+3) + 4y = -1.

Simplify and solve it for "y":

10y + 6 + 4y = -1  --->  14y = -1 -6  --->  14y = -7  --->  y =  = -0.5.

Now substitute this valu of "y" into the very first equation and get

x = 5y + 3 = 5*(-0.5) + 3 = -2.5 + 3 = 0.5.


Answer.  x= 0.5,  y= -0.5.

You will need to check the solution. (I did it mentally).


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