Question

How many solutions does the system of equations below have? y= 3x + 4 2y -8 = 6x

Answer 1

Answer:

infinitely many solutions (infinite solutions)

Step-by-step explanation:

2y - 8 = 6x

   +8    +8

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2y = 6x + 8

$\frac{2y}{2}$ = $\frac{6x}{2}$ + $\frac{8}{2}$

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y = 3x + 4

Because 3x + 4 = 3x + 4, there are infinitely many solutions to this system of equations. This is because they're the exact same equations. Any substitution for x will give you a true statement to y when compared to the other equation.