Can you help me solve this problem using elimination?
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Answer:
[tex](5,5)[/tex]
Step-by-step explanation:
[tex]\left \{ {{-8x+7y=-5} \atop {-4x+8y=20}} \right.[/tex]
[tex]\left \{ {{-64x+56y=-40} \atop {28x-56y=-140}} \right.[/tex] <-- Multiply top by 8 and bottom by -7 so y can be cancelled out
[tex]-36x=-180[/tex]
[tex]x=5[/tex]
[tex]-4x+8y=20[/tex]
[tex]-4(5)+8y=20[/tex]
[tex]-20+8y=20[/tex]
[tex]8y=40[/tex]
[tex]y=5[/tex]
Therefore, the solution to the system of equations is [tex](5,5)[/tex]