Respuesta :
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).
What is the substitution method?
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).
Learn more about system of equation here;
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