Solve the system of equations. {:[3x+8y=15],[2x-8y=10],[x=◻],[y=◻]:}

Identify variable to eliminate: Identify the variable to eliminate. In this case, we can eliminate 'y' as the coefficients are opposite in both equations.Perform operation to eliminate variable: Identify the operation to eliminate the variable. Here, we add the equations as the coefficients of 'y' are opposite.Add equations to eliminate variable: Add the equations to eliminate 'y'. (3x + 8y) + (2x - 8y) = 15 + 10 3x + 8y + 2x - 8y = 25 5x = 25 This gives us 5x = 25.Solve for x: Solve for 'x'. Dividing both sides of the equation by 5 gives us x = 5.Substitute x into equation: Substitute x = 5 into one of the original equations to solve for 'y'. Let's use the first equation 3x + 8y = 15. Substitute x = 5 in, we get 3(5) + 8y = 15.Solve for y: Solve for 'y'. 15 + 8y = 15. Subtract 15 from both sides, we get 8y = 0. Divide by 8, we get y = 0.Write solution as coordinate point: Write the solution as a coordinate point. The solution is (5, 0).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve the system of equations.

{:[3x+8y=15],[2x-8y=10],[x=◻],[y=◻]:}

Solve the system of equations. $\newline$ $\begin{array}{l} 3 x+8 y=15 \\ 2 x-8 y=10 \\ x=\square \\ y=\square \end{array}$

View step-by-step help

Home

Math Problems

Algebra 2

Solve a system of equations using elimination

Full solution

Q. Solve the system of equations.

\newline

\begin{array}{l} 3 x+8 y=15 \\ 2 x-8 y=10 \\ x=\square \\ y=\square \end{array}

Identify variable to eliminate: Identify the variable to eliminate. In this case, we can eliminate ' $y$ ' as the coefficients are opposite in both equations.
Perform operation to eliminate variable: Identify the operation to eliminate the variable. Here, we add the equations as the coefficients of ' $y$ ' are opposite.
Add equations to eliminate variable: Add the equations to eliminate $y$ . $(3x + 8y) + (2x - 8y) = 15 + 10$ $3x + 8y + 2x - 8y = 25$ $5x = 25$ This gives us $5x = 25$ .
Solve for x: Solve for 'x'. Dividing both sides of the equation by $5$ gives us $x = 5$ .
Substitute $x$ into equation: Substitute $x = 5$ into one of the original equations to solve for ' $y$ '. Let's use the first equation $3x + 8y = 15$ . Substitute $x = 5$ in, we get $3(5) + 8y = 15$ .
Solve for y: Solve for 'y'. $15 + 8y = 15$ . Subtract $15$ from both sides, we get $8y = 0$ . Divide by $8$ , we get $y = 0$ .
Write solution as coordinate point: Write the solution as a coordinate point. The solution is $(5, 0)$ .