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What is the solution of the system of equations below?

y+2x=2 y+4x=0

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2 Answers

4 votes

Answer: (-1, 4)

Step-by-step explanation: y=-2x+2, y=-4x Solve for the first variable in one of the equations, then substitute the result into the other equation.

User Ahmed Gaafer
by
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6 votes

Answer this question using SUBSTITUTION:

Substitution is a method to solving a system of equations through substituting one of the variables for another equation.

y + 2x = 2

y + 4x =0 (rewrite this equation so y is isolated: y =4x)

Since y=4x you can substitute the y in y +2x =2 and solve for x:

4x + 2x =2

6x = 2

x =
(1)/(3)

Now, plug in x into y =4x:

y = 4 (
(1)/(3)) =
(4)/(3) or
1(1)/(3)

x=
(1)/(3)

y =
(4)/(3) or
1(1)/(3)

User Tiago Leite
by
4.8k points