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Solve. $\newline$ $-4x + 10y = -6$ $\newline$ $y = 3$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-4x + 10y = -6

\newline

y = 3

\newline

(_____, _____)

Substitute $y = 3$ : Substitute $y = 3$ into the equation $–4x + 10y = –6$ and then simplify. $\newline$ Substitute $3$ for $y$ in $–4x + 10y = –6$ . $\newline$ $–4x + 10(3) = –6$
Simplify equation: Simplify the equation by multiplying $10$ by $3$ . $\,-4x + 30 = -6$
Isolate variable term: Isolate the variable term by subtracting $30$ from both sides of the equation. $-4x + 30 - 30 = -6 - 30$ $-4x = -36$
Solve for x: Solve for x by dividing both sides of the equation by $–4$ . $\frac{–4x}{-4} = \frac{–36}{-4}$ $x = 9$
Final solution: We found: $\newline$ $x = 9$ $\newline$ $y = 3$ $\newline$ What is the solution in the form of an ordered pair? $\newline$ Substitute $x = 9$ and $y = 3$ into $(x, y)$ . $\newline$ The solution is $(9, 3)$ .

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