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Choose the correct words from the drop-down menu to make a true statement about the system of equations.
y = 1/3x + 2
–x + 3y = 6

Using substitution, the system has choose....
A. No solution

B. One solution

C. Infinitely many solutions

Respuesta :

Answer:

C

Step-by-step explanation:

Given the 2 equations

y = [tex]\frac{1}{3}[/tex] x + 2 → (1)

- x + 3y = 6 → (2)

Substitute y = [tex]\frac{1}{3}[/tex] x + 2 into (2)

- x + 3([tex]\frac{1}{3}[/tex] x + 2) = 6 ← distribute left side

- x + x + 6 = 6, that is

6 = 6 ← True

This statement indicates the system has infinitely many solutions

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