Solve using substitution. –7x − 2y = 7 x = 1 (_____, _____)

Substitute x value: Substitute the value of x into the first equation. We are given x = 1, so we can substitute this value into the first equation to find y. –7(1) − 2y = 7Simplify and solve for y: Simplify the equation and solve for y. –7 − 2y = 7 Add 7 to both sides to isolate the term with y. –7 + 7 − 2y = 7 + 7 0 − 2y = 14 −2y = 14Divide to find y: Divide both sides by -2 to find the value of y. −2y / -2 = 14 / -2 y = -7Write as ordered pair: Write the solution as an ordered pair. Since x = 1 and y = -7, the solution to the system of equations is (1, -7).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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

View step-by-step help

Home

Math Problems

Grade 8

Solve a system of equations using substitution

Full solution

Q. Solve using substitution.

\newline

-7x - 2y = 7

\newline

x = 1

\newline

(_____, _____)

Substitute $x$ value: Substitute the value of $x$ into the first equation. $\newline$ We are given $x = 1$ , so we can substitute this value into the first equation to find $y$ . $\newline$ $–7(1) − 2y = 7$
Simplify and solve for y: Simplify the equation and solve for y. $\newline$ $-7 - 2y = 7$ $\newline$ Add $7$ to both sides to isolate the term with y. $\newline$ $-7 + 7 - 2y = 7 + 7$ $\newline$ $0 - 2y = 14$ $\newline$ $-2y = 14$
Divide to find $y$ : Divide both sides by $-2$ to find the value of $y$ . $\frac{-2y}{-2} = \frac{14}{-2}$ $y = -7$
Write as ordered pair: Write the solution as an ordered pair. $\newline$ Since $x = 1$ and $y = -7$ , the solution to the system of equations is $(1, -7)$ .