Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Solve the system of equations 4x+6y=−84x+6y=−8 and 2x+y=122x+y=12 by combining the equations.

Solve The System Of Equations 4x6y84x6y8 And 2xy122xy12 By Combining The Equations class=

Sagot :

Given the system of equations:

[tex]\begin{gathered} 4x+6y=-8\ldots(1) \\ 2x+y=12\ldots(2) \end{gathered}[/tex]

Multiply equation (2) with 2.

[tex]4x+2y=24\ldots(3)[/tex]

Subtract (3) from (1) and solve for y.

[tex]\begin{gathered} 4y=-32 \\ y=-\frac{32}{4}=-8 \end{gathered}[/tex]

Substitute the obtained value of y into (2) to find x.

[tex]\begin{gathered} 2x-8=12 \\ 2x=20 \\ x=\frac{20}{2}=10 \end{gathered}[/tex]

The solution of the system of equations is

x = 10, y = -8

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.