Answer:
C) (2,16)
Step-by-step explanation:
Y=12x-8
Y=8x
8x=12x-8
8=12x-8x
8=4x
2=x
Y=8x
Y=16
The solution of the system of equations is (2, 16).
The substitution method is the algebraic method to solve simultaneous linear equations.
The given system of equations are;
[tex]\rm y = 12x-8\\\\y = 8x[/tex]
Subtracting equation 1 from 2
[tex]\rm y-y=12x-8-8x\\\\0=4x-8\\\\4x=8\\\\x=\dfrac{8}{4}\\\\x=2[/tex]
Substitute the value of x in th equation 2
[tex]\rm y = 8x\\\\y =8\times 2\\\\y=16[/tex]
Hence, the solution of the system of equations is (2, 16).
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