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lukranit [14]
3 years ago
14

Solve the system of linear equations by substitution. y = 2x + 8 y = -2x

Mathematics
2 answers:
posledela3 years ago
6 0

Answer:

(- 2, 4 )

Step-by-step explanation:

y = 2x + 8 → (1)

y = - 2x → (2)

substitute y = 2x + 8 into (2)

2x + 8 = - 2x ( add 2x to both sides )

4x + 8 = 0 ( subtract 8 from both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

substitute x = - 2 into (2)

y = - 2(- 2) = 4

solution is (- 2, 4 )

antiseptic1488 [7]3 years ago
5 0

Answer: y=4,\:x=-2

Step-by-step explanation:

\begin{bmatrix}y=2x+8\\ y=-2x\end{bmatrix}

\mathrm{Substitute\:}y=-2x

\begin{bmatrix}-2x=2x+8\end{bmatrix}

{Isolate\:}x{for -2x=2x+8

x=-2

\mathrm{For\:}y=-2x

\mathrm{Substitute\:}x=-2

y=-2\left(-2\right)

\mathrm{Simplify}

y=4

The\:solutions\:to\:the\:system\:of\:equations\:are:

y=4,\:x=-2

Good Luck!

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