Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts 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

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.