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