Find the solution of the system of equations. {:[4x-y=15],[8x+7y=-33]:}

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Find the solution of the system of equations.  {:[4x-y=15],[8x+7y=-33]:}

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Solve for y: Solve the first equation for y. We can express y in terms of x using the first equation 4x - y = 15. y = 4x - 15Substitute in second equation: Substitute the expression for y into the second equation. We will replace y in the second equation 8x + 7y = -33 with the expression we found in Step 1. 8x + 7(4x - 15) = -33Distribute and combine terms: Distribute and combine like terms. Now we distribute 7 into the parentheses and combine like terms. 8x + 28x - 105 = -33 36x - 105 = -33Add 105 to isolate x: Add 105 to both sides of the equation to isolate the term with x. 36x - 105 + 105 = -33 + 105 36x = 72Divide to solve for x: Divide both sides by 36 to solve for x. x = 72 / 36 x = 2Substitute x into y expression: Substitute x back into the expression for y. Now that we have the value for x, we can find y by substituting x into y = 4x - 15. y = 4(2) - 15 y = 8 - 15 y = -7

Find the solution of the system of equations. $\newline$ $\begin{aligned} 4 x-y & =15 \\ 8 x+7 y & =-33 \end{aligned}$

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Find the solution of the system of equations.\newline4x−yamp;=158x+7yamp;=−33 \begin{aligned} 4 x-y &amp; =15 \\ 8 x+7 y &amp; =-33 \end{aligned} 4x−y8x+7y​amp;=15amp;=−33​

Find the solution of the system of equations. $\newline$ $\begin{aligned} 4 x-y & =15 \\ 8 x+7 y & =-33 \end{aligned}$