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What is the result of subtracting the second equation from the first?

{:[2x+7y=-8],[2x-5y=-1]:}

What is the result of subtracting the second equation from the first? $\newline$ $\begin{array}{l} 2 x+7 y=-8 \\ 2 x-5 y=-1 \end{array}$ $\newline$ $\square$

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Solve a system of equations using elimination

Full solution

Q. What is the result of subtracting the second equation from the first?

\newline

\begin{array}{l} 2 x+7 y=-8 \\ 2 x-5 y=-1 \end{array}

\newline

\square

Write Equations: Write down the equations to be subtracted. $\newline$ We have the system of equations: $\newline$ $2x + 7y = -8$ (Equation $1$ ) $\newline$ $2x - 5y = -1$ (Equation $2$ ) $\newline$ We want to subtract Equation $2$ from Equation $1$ .
Subtract Equations: Subtract the second equation from the first. $\newline$ $(2x + 7y) - (2x - 5y) = -8 - (-1)$ $\newline$ This simplifies to: $\newline$ $2x + 7y - 2x + 5y = -8 + 1$
Combine Terms: Combine like terms. $\newline$ Since $2x - 2x$ equals $0$ , they cancel each other out. We are left with: $\newline$ $7y + 5y = -8 + 1$ $\newline$ This simplifies to: $\newline$ $12y = -7$
Check Result: Check the result for any mathematical errors. $\newline$ We subtracted the equations correctly and combined like terms without any mistakes.

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