Solve the system by substitution. {:[y=x],[y=10 x-9]:} (◻,◻)

Substitute Equations: Substitute the first equation y = x into the second equation y = 10x - 9. y = x y = 10x - 9 Now, replace y in the second equation with x (from the first equation). x = 10x - 9Solve for x: Solve for x. x = 10x - 9 Subtract 10x from both sides to isolate x. x - 10x = -9 -9x = -9Find x value: Divide both sides by -9 to find the value of x. -9x / -9 = -9 / -9 x = 1Substitute x into y: Substitute x = 1 into the first equation y = x to find the value of y. y = x y = 1Final Solution: We have found the values of x and y. x = 1 y = 1 The solution is the ordered pair (1, 1).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve the system by substitution.

{:[y=x],[y=10 x-9]:}

(◻,◻)

Solve the system by substitution. $\newline$ $\begin{array}{l} y=x \\ y=10 x-9 \end{array}$ $\newline$ $(\square, \square)$

View step-by-step help

Home

Math Problems

Algebra 2

Solve a system of equations in three variables using substitution

Full solution

Q. Solve the system by substitution.

\newline

\begin{array}{l} y=x \\ y=10 x-9 \end{array}

\newline

(\square, \square)

Substitute Equations: Substitute the first equation $y = x$ into the second equation $y = 10x - 9$ . $\newline$ $y = x$ $\newline$ $y = 10x - 9$ $\newline$ Now, replace $y$ in the second equation with $x$ (from the first equation). $\newline$ $x = 10x - 9$
Solve for x: Solve for x. $\newline$ $x = 10x - 9$ $\newline$ Subtract $10x$ from both sides to isolate $x$ . $\newline$ $x - 10x = -9$ $\newline$ $-9x = -9$
Find $x$ value: Divide both sides by $-9$ to find the value of $x$ . $\frac{-9x}{-9} = \frac{-9}{-9}$ $x = 1$
Substitute $x$ into $y$ : Substitute $x = 1$ into the first equation $y = x$ to find the value of $y$ . $\newline$ $y = x$ $\newline$ $y = 1$
Final Solution: We have found the values of $x$ and $y$ . $x = 1$ $y = 1$ The solution is the ordered pair $(1, 1)$ .