Viktoriya solved an equation as shown below 5(x-2)-3x=2(x-3)-16 5x-10-3x=2x-6-16 2x-10=2x-22 -10=-22 she says that the equation has infinitely many solutions. which describes viktoriya's error?

For this case we have the following equation:

The steps used by Viktoriya to solve are:

Step 1:

Distributive property:

Step 2:

Combine similar terms:

Step 3:

Simplify:

Viktoriya's error is in the conclusion of the problem.

The equation has no solution, because:

Left side ≠ right side

Viktoriya's error is: the equation has infinitely many solutions.

Viktoriya should have said that the equation has no solution.

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