Question

n example 3, your friend says that there is enough information to determine the numbers of solutions of the equations $3(5x+2)=15x$ and $-2(4y+1)=-8y-2$ once you obtain $15x+6=15x$ and $-8y-2=-8y-2$ . Is your friend correct?

Answer 1

The number of solutions of the equations can't be determined.

How to illustrate the information?

It should be noted an equation shows the relationship between the variables. It should be noted that the question is to find the number of solutions.

From the information, 3(5x + 2) = 15x

15x + 6 = 15x

Collect like terms

15x - 15x = - 6

0 = -6

Therefore, it can be see that the friend is incorrect as the number of solutions of the equations can't be determined.

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