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In Mathematics / Middle School | 2014-05-08

Solve the system of equations:

\[
\begin{align*}
y &= 3x + 7 \\
y &= 5x - 7
\end{align*}
\]

Asked by CanadaW

Answer (3)

\left\{\begin{array}{ccc}y=3x+7\\y=5x-7\end{array}\right\\\\substitute:\\\\5x-7=3x+7\\5x-3x=7+7\\2x=14\ \ \ \ /:2\\x=7\\\\y=3\cdot7+7=21+7=28\\\\Answer:x=7\ and\ y=28.

Answered by Anonymous | 2024-06-10

y = 3x + 7 y = 5x-7
Now, we know that y = y
thus,
3x + 7 = 5x-7 3x - 5x = -7 -7
= -2x = -14
thus, -x = -14/-2
thus, x = 7.
Substituting for y,
y = 3x + 7 = 3 x 7 + 7
= 28.
Thus, x = 7, y =28

Answered by tadvisohil886 | 2024-06-10

The solution to the system of equations is ( x , y ) = ( 7 , 28 ) after setting the equations equal to each other to solve for x and then substituting back to find y .
;

Answered by Anonymous | 2024-12-23

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