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zhannawk [14.2K]
3 years ago
5

Jeffrey's brother max is 5 years older than twice Jeffrey's age. Write an expression that represents the relationship of Max's a

ge in terms of Jeffrey's age,j.
Mathematics
1 answer:
Illusion [34]3 years ago
4 0
Jeffrey = J
Max = M

M = 2j + 5
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agasfer [191]

Answer:

The solution to the system of equations be:

x=3,\:y=-1

Hece, option B is correct.

Step-by-step explanation:

Given the system of equations

\begin{bmatrix}x-3y=6\\ 2x+2y=4\end{bmatrix}

Multiply x − 3y = 6 by 2:      2x-6y=12

\begin{bmatrix}2x-6y=12\\ 2x+2y=4\end{bmatrix}

so

2x+2y=4

-

\underline{2x-6y=12}

8y=-8

so the system of equations becomes

\begin{bmatrix}2x-6y=12\\ 8y=-8\end{bmatrix}

Solve 8y = -8 for y

8y=-8

Divide both sides by 8

\frac{8y}{8}=\frac{-8}{8}

y=-1

\mathrm{For\:}2x-6y=12\mathrm{\:plug\:in\:}y=-1

2x-6\left(-1\right)=12

2x+6=12

subtract 6 from both sides

2x+6-6=12-6

2x=6

Divide both sides by 2

\frac{2x}{2}=\frac{6}{2}

x=3

Therefore, the solution to the system of equations be:

x=3,\:y=-1

Hence, option B is correct.

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Step-by-step explanation:

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Answer is provided in the image attached.

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