Solve the system of equations. {:[8x+5y=24],[y=-4x],[x=◻],[y=◻]:}

Identify Equations: First, we need to identify the system of equations we are working with. We have: 1) 8x + 5y = 24 2) y = -4x We will use substitution since the second equation gives us y in terms of x directly.Substitute y into 1st equation: Substitute y = -4x into the first equation in place of y: 8x + 5(-4x) = 24Simplify with distribution: Simplify the equation by distributing the 5 to -4x: 8x - 20x = 24Combine like terms: Combine like terms: -12x = 24Solve for x: Divide both sides by -12 to solve for x: x = 24 / -12 x = -2Substitute x into 2nd equation: Now that we have the value of x, we can substitute it back into the second equation to find y: y = -4(-2)Calculate y: Calculate the value of y: y = 8

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve the system of equations.

{:[8x+5y=24],[y=-4x],[x=◻],[y=◻]:}

Solve the system of equations. $\newline$ $\begin{array}{l} 8 x+5 y=24 \\ y=-4 x \\ x=\square \\ y=\square \end{array}$

View step-by-step help

Home

Math Problems

Algebra 1

Solve a system of equations using substitution

Full solution

Q. Solve the system of equations.

\newline

\begin{array}{l} 8 x+5 y=24 \\ y=-4 x \\ x=\square \\ y=\square \end{array}

Identify Equations: First, we need to identify the system of equations we are working with. We have: $\newline$ $1$ ) $8x + 5y = 24$ $\newline$ $2$ ) $y = -4x$ $\newline$ We will use substitution since the second equation gives us $y$ in terms of $x$ directly.
Substitute $y$ into $1$ st equation: Substitute $y = -4x$ into the first equation in place of $y$ : $8x + 5(-4x) = 24$
Simplify with distribution: Simplify the equation by distributing the $5$ to $-4x$ : $8x - 20x = 24$
Combine like terms: Combine like terms: $\newline$ $-12x = 24$
Solve for x: Divide both sides by $-12$ to solve for x: $\newline$ $x = \frac{24}{-12}$ $\newline$ $x = -2$
Substitute $x$ into $2$ nd equation: Now that we have the value of $x$ , we can substitute it back into the second equation to find $y$ : $y = -4(-2)$
Calculate y: Calculate the value of y: $\newline$ $y = 8$