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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

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