Answer :
3(y - 2) = 3y - 6
3y - 6 = 3y - 6
3y - 3y = - 6 + 6
0 = 0
It has ∞ solutions.
0 = 0, so 'y' can be replaced with any value & we'll still get the LHS & RHS as 0. So, the equation has ∞ solutions.
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Answer:
Infinitely Many Solutions
Step-by-step explanation:
3(y - 2) = 3y - 6
3y - 6 = 3y - 6 Distribute 3.
0 = 0 Combine the like terms.
Since we get the end result of 0 = 0, which is a true mathematical statement (i.e. 0 is equal to 0), we can see that regardless of the value of x, the original equation is true. So we have infinitely many equations.
Or, we can see the 2 parts as equations for 2 separate graphs. In other words, assume that we have 2 lines: y = (3x - 2) and y = 3y - 6. Since they both have the same m value (slope) and b value (y-intercept), the 2 lines are actually overlapping. So we have infinitely many solutions because the 2 equations represent the same linear graph.