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Solve. $\newline$ $-8x + 10y = 2$ $\newline$ $x = 6$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-8x + 10y = 2

\newline

x = 6

\newline

(_____, _____)

Given Equations: Given the system of equations: $\newline$ $-8x + 10y = 2$ $\newline$ $x = 6$ $\newline$ We will substitute $x = 6$ into the first equation to find the value of $y$ .
Substitute $x = 6$ : Substitute $x = 6$ into the first equation. $\newline$ $-8(6) + 10y = 2$ $\newline$ $-48 + 10y = 2$
Isolate variable term: Isolate the variable term to solve for $y$ . $10y = 2 + 48$ $10y = 50$
Divide by $10$ : Divide both sides by $10$ to find the value of y. $\newline$ $\frac{10y}{10} = \frac{50}{10}$ $\newline$ $y = 5$
Final Solution: We have found the values of $x$ and $y$ . $x = 6$ $y = 5$ The solution in the form of an ordered pair is $(6, 5)$ .

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