Solve. 5x + 6y = 20 x = –8 (_____, _____)

Substitute x value: Substitute the value of x into the first equation. We are given x = –8, so we can substitute this value into the first equation to find the value of y. 5(-8) + 6y = 20Simplify first equation: Perform the multiplication to simplify the equation. 5(-8) = -40, so the equation becomes: -40 + 6y = 20Isolate y term: Add 40 to both sides of the equation to isolate the term with y. -40 + 40 + 6y = 20 + 40 6y = 60Solve for y: Divide both sides of the equation by 6 to solve for y. 6y ÷ 6 = 60 ÷ 6 y = 10Write ordered pair solution: Write the solution as an ordered pair. Since x = –8 and y = 10, the solution to the system of equations is (-8, 10).

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Solve. $\newline$ $5x + 6y = 20$ $\newline$ $x = -8$ $\newline$ (_, _)

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Grade 8

Solve a system of equations using any method

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Q. Solve.

\newline

5x + 6y = 20

\newline

x = -8

\newline

(_____, _____)

Substitute $x$ value: Substitute the value of $x$ into the first equation. $\newline$ We are given $x = -8$ , so we can substitute this value into the first equation to find the value of $y$ . $\newline$ $5(-8) + 6y = 20$
Simplify first equation: Perform the multiplication to simplify the equation. $5(-8) = -40$ , so the equation becomes: $-40 + 6y = 20$
Isolate y term: Add $40$ to both sides of the equation to isolate the term with $y$ . $\newline$ $-40 + 40 + 6y = 20 + 40$ $\newline$ $6y = 60$
Solve for y: Divide both sides of the equation by $6$ to solve for y. $\newline$ $6y \div 6 = 60 \div 6$ $\newline$ $y = 10$
Write ordered pair solution: Write the solution as an ordered pair. $\newline$ Since $x = -8$ and $y = 10$ , the solution to the system of equations is $(-8, 10)$ .