Question

Please help!!

please look at the attached! thank you!

Answer 1

See explanation

Explanation:

Operations Equations Labels

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`\left\{\begin{array}{l}5x-2y=17\\ \\3x+7y=43\end{array}\right.`
`\begin{array}{l}\text{Equation 1}\\ \\\text{Equation 2}\end{array}`

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Multiply Equation 1 by -3
`-15x+6y=-51` New Eq. 1

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Multiply Equation 2 by 5
`15x+35y=215` New Eq. 2

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Add Equations 1 and 2
`(-15x+6y)+(15x+35y)=-51+215\\ \\41y=164` New Eq. 1

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Divide by 41
`y=4` y solution

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Substitute y=4 into Equation 2
`3x+7\cdot 4=43\\ \\3x+28=43` New Equation 2

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Solve for x
`3x=43-28\\ \\3x=15\\ \\x=5` x solution

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Write x and y as coordinates (5,4) Solution to the system

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