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Solve. $\newline$ $x = 5$ $\newline$ $5x + 5y = 15$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

x = 5

\newline

5x + 5y = 15

\newline

(_____, _____)

Substitute $x$ in second equation: Given the equation $x = 5$ , we will substitute this value into the second equation $5x + 5y = 15$ . $\newline$ Substitute $5$ for $x$ in $5x + 5y = 15$ . $\newline$ $5(5) + 5y = 15$
Simplify the equation: Simplify the equation by performing the multiplication. $25 + 5y = 15$
Isolate variable term: Isolate the variable term $5y$ by subtracting $25$ from both sides of the equation. $\newline$ $25 + 5y - 25 = 15 - 25$ $\newline$ $5y = -10$
Solve for y: Solve for y by dividing both sides of the equation by $5$ . $\newline$ $\frac{5y}{5} = \frac{-10}{5}$ $\newline$ $y = -2$
Write the solution: We found: $\newline$ $x = 5$ $\newline$ $y = -2$ $\newline$ Now we can write the solution as an ordered pair. $\newline$ The solution is $(5, -2)$ .

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