Question

Please help!! please look at the attached! thank you!

Answer 1

Answer:

See explanation

Step-by-step 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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