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Please help!! Linear Equations

Please help!! Linear Equations-example-1
User Darwin
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1 Answer

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Answer:


\left(\boxed{2},\boxed{3}\right)

Explanation:

We start by multiplying the bottom equation by 3, and add them.


\begin{aligned} 9x-7y & =-3 \longrightarrow 9x-7y & =-3 \\\\ -3x + 5y & = 9 \overset{* 3}{\longrightarrow}+ \; \; -9x + 15y & = 27 \\\hline 8y & = 24 \end{aligned}

Now, divide both sides by 8 to find y:


\sf (8y)/(8) =(24)/(8)


\sf y = 3

Now that we know y = 3, we can substitute it into either of the original equations to find x.

Let's substitute it into the top equation:


\sf 9x - 7(3) = -3


\sf 9x - 21 = -3


\sf 8x = - 3 + 21


\sf -3x + 5y = 99x = 18


\sf (9x)/(9)=(18)/(9)


\sf x = 2

Therefore, the solution to the system of equations is:


\left(\boxed{2},\boxed{3}\right)

User RishiKesh Pathak
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