Question

Latesha justifies whether the expression 4x-3 is equivalent to 1/2 (4x-6) -2x(1-3) by letting x-2 in both expressions . which value should letesha compare to justify whether the expressions are equivelent

Answer 1

9

Explanation:

Solve both equations for x-2

1) 4x-3

4•2-3

The result is 5

2) 1/2 (4x-6) – 2x(1-3)

1/2 (4*2-6) – 2*2(1-3)

1/2 (2) – 4(-2)

1+8

The answer is 9

Latesha should compare to justify whether the expressions are equivalent 5 and 9

Answer 2

Given that Latesha is trying to justify if expression given by 4x-3 is equivalent to 1/2(4x-6)-2x(1-3). To this she needs to simplify the second expression first.
1/2(4x-6)-2x(1-3)
=2x-3-2x(-2)
=2x-3+4x
=6x-3

Now she will be able to compare:
4x-3 and 6x-3m, and she will use the the first terms of the equations.