Solve using substitution. 7x − 9y = –7 y = 7 (_____, _____)

Identify Equations & Method: Identify the given equations and the method to solve them. We are given a system of equations: 7x − 9y = –7 y = 7 We can use substitution to solve this system since one equation is already solved for y.Substitute & Simplify: Substitute the value of y from the second equation into the first equation. Substitute y = 7 into 7x − 9y = –7 to get: 7x − 9(7) = –7Solve for x: Simplify the equation and solve for x. 7x − 63 = –7 Add 63 to both sides to isolate the term with x: 7x = –7 + 63 7x = 56 Now, divide both sides by 7 to solve for x: x = 56 / 7 x = 8Write Ordered Pair: Write the solution as an ordered pair. Since y = 7 and we found x = 8, the solution to the system of equations is (8, 7).

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Solve using substitution. $\newline$ $7x - 9y = -7$ $\newline$ $y = 7$ $\newline$ (_, _)

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Solve a system of equations using substitution

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Q. Solve using substitution.

\newline

7x - 9y = -7

\newline

y = 7

\newline

(_____, _____)

Identify Equations & Method: Identify the given equations and the method to solve them. $\newline$ We are given a system of equations: $\newline$ $7x − 9y = −7$ $\newline$ $y = 7$ $\newline$ We can use substitution to solve this system since one equation is already solved for $y$ .
Substitute & Simplify: Substitute the value of $y$ from the second equation into the first equation. $\newline$ Substitute $y = 7$ into $7x − 9y = −7$ to get: $\newline$ $7x − 9(7) = −7$
Solve for x: Simplify the equation and solve for x. $\newline$ $7x - 63 = -7$ $\newline$ Add $63$ to both sides to isolate the term with x: $\newline$ $7x = -7 + 63$ $\newline$ $7x = 56$ $\newline$ Now, divide both sides by $7$ to solve for x: $\newline$ $x = \frac{56}{7}$ $\newline$ $x = 8$
Write Ordered Pair: Write the solution as an ordered pair. $\newline$ Since $y = 7$ and we found $x = 8$ , the solution to the system of equations is $(8, 7)$ .