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Solve. $\newline$ $10x - 7y = -1$ $\newline$ $x = 2$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

10x - 7y = -1

\newline

x = 2

\newline

(_____, _____)

Substitute $x$ in first equation: Substitute the value of $x$ into the first equation. $\newline$ Given $x = 2$ , substitute $2$ for $x$ in $10x − 7y = −1$ . $\newline$ $10(2) − 7y = −1$
Simplify the equation: Simplify the equation. $20 - 7y = -1$
Isolate the variable term: Isolate the variable term. $\newline$ Subtract $20$ from both sides of the equation. $\newline$ $20 - 7y - 20 = -1 - 20$ $\newline$ $-7y = -21$
Solve for y: Solve for y. $\newline$ Divide both sides by $-7$ to find the value of $y$ . $\newline$ $-7y / -7 = -21 / -7$ $\newline$ $y = 3$
Write the solution: We found: $\newline$ $x = 2$ $\newline$ $y = 3$ $\newline$ Now, write the solution as an ordered pair. $\newline$ The solution is $(2, 3)$ .

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