6x + 2y = 04x + y = -1

Question

solve using subsitution

Answer 1

6x + 2y = 0

4 x + y = -1

Let's solve one of these equations for y so that we can substitue this into the other equations.

4x + y = -1

-4x         -4x

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y = -1 - 4x

Plug this into the other equation for y:

6x + 2(-1 - 4x) = 0

Distribute the 2:

6x -2 -8x = 0

Combine terms:

-2x - 2 = 0

      +2    +2

-2x = 2

x = -1

Now plug this value back in for x and solve for y in one of the equations.

4(-1) + y = -1

-4 + y = -1

+4        +4

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y = 3