Solving Equations

System of Linear Equations - Elimination

Solve the following system of equations: $\begin{cases} 2x+y=7 \\ 4x-y=5. \end{cases}$

x=1, y=5

x=2, y=3

x=3, y=7

x=3, y=1

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by Brilliant Staff

Solve the following system of equations: $\begin{cases} -3x+4y=29 \\ -7x-4y=1. \end{cases}$

x=-3, y=5

x=2, y=3

x=7, y=2

x=7, y=12

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by Brilliant Staff

Let $x = a$ and $y = b$ be the solution of the following system of linear equations: $x-y=7,\quad 3x+2y=26.$ What is the value of $a+b$ ?

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by Brilliant Staff

Given that $x$ and $y$ are real numbers satisfying the equations $3x - 2y = 22$ and $7x + 3y = 105$ , what is the value of $x+y$ ?

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by Brilliant Staff

Solve the following system of equations: $\begin{cases} 6x+2y=42 \\ 8x-4y=36. \end{cases}$

x=5, y=6

x=6, y=3

x=4, y=9

x=5, y=1

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by Brilliant Staff

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