Question

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?

Answer 1

Answer:

Viktoriya should have said that the equation has no solution.

Answer 2

For this case we have the following equation:

$5 (x-2) -3x = 2 (x-3) -16$

The steps used by Viktoriya to solve are:

Step 1:

Distributive property:

$5x-10-3x = 2x-6-16$

Step 2:

Combine similar terms:

$2x-10 = 2x-22$

Step 3:

Simplify:

$-10 = -22$

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

The equation has no solution, because:

Left side ≠ right side

Answer:

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