MATH SOLVE

4 months ago

Q:
# 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?

Accepted Solution

A:

For this case we have the following equation:
[tex]5 (x-2) -3x = 2 (x-3) -16[/tex]The steps used by Viktoriya to solve are:
Step 1:
Distributive property:
[tex]5x-10-3x = 2x-6-16[/tex]Step 2:
Combine similar terms:
[tex]2x-10 = 2x-22[/tex]Step 3:
Simplify:
[tex]-10 = -22[/tex]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.