Question

Solve the system of equations using substitution. y = −2x + 1 4x + 2y = −2

No solution
Infinitely many solutions
(0, −4)
(−4, 0)

Answer 1

Answer: First Option

No solution

Explanation:

We have the following system of linear equations

`y = -2x + 1`

`4x + 2y = -2`

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To solve the system of equations using the substitution method, enter the first equation in the second equation as shown below.

`4x + 2(-2x + 1) = -2`

`4x -4x + 2 = -2`

`0= -4`

The variable x is eliminated and 0 is not equal to -4. So the system has no solution

Answer 2

No solution

Explanation:

The first equation is
`y=-2x+1`

The second equation is
`4x+2y=-2`.

Put the first equation into the second one.

`4x+2(-2x+1)=-2`.

`4x-4x+2=-2`.

`4x-4x=-2-2`.

`0=-4`.

This is not TRUE.

Therefore the system has no solution