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Use elimination to solve eachsystem of equations2x - y = 165x + 3y = -4

Sagot :

To solve by elimination, we add 3 times the first equation to the second one, and get:

[tex]6x-3y+5x+3y=48-4.[/tex]

Simplifying the above equation, we get:

[tex]11x=44.[/tex]

Dividing by 11, we get:

[tex]x=\frac{44}{11}=4.[/tex]

Substituting x=4 in the first equation, and solving for y, we get:

[tex]\begin{gathered} 2(4)-y=16, \\ 8-16=y, \\ -8=y\text{.} \end{gathered}[/tex]

Answer:

[tex]\begin{gathered} x=4, \\ y=-8. \end{gathered}[/tex]

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