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Solve the system of equations x - 2y = – 7 and -3x – 2y = 29 by combining the
equations.

Sagot :

RevyBreezeidn

Answer:

x = - 9, y = -1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}x-2y=-7\\ -3x-2y=29\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=-7+2y[/tex]

[tex]\begin{bmatrix}-3\left(-7+2y\right)-2y=29\end{bmatrix}[/tex]

[tex]\begin{bmatrix}21-8y=29\end{bmatrix}[/tex]

[tex]\mathrm{For\:}x=-7+2y[/tex]

[tex]\mathrm{Substitute\:}y=-1[/tex]

[tex]x=-7+2\left(-1\right)[/tex]

[tex]x=-9[/tex]

[tex]\mathrm{Thus, Answer:x=-9,\:y=-1}[/tex]

[RevyBreeze]

Lenvyidn

Answer:

x = -9, y = -1

Step-by-step explanation:

Solution:

If x = -7+2y

Then

-3(-7+2y)-2y=29

Simplify

21 - 8y = 29

And if x = -7+2y

Simplify

y = -1

x = -7+2(-1)

x = -9

Hence, x = -9 and y = -1

~lenvy~

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