Question

Are the linear expressions equivalent?

2x-3(1.3x-2.5)=5.9x+7.5

3-2(-2.6x+2.1)=5.2x-1.1
d​

Answer 1

not equivalent expressions

Explanation:

Expand and simplify both expressions

2x - 3(1.3x - 2.5) - 5.9x + 7.5 ← distribute parenthesis

= 2x - 3.9x + 7.5 - 5.9x + 7.5 ← collect like terms

= - 7.8x + 15

----------------------------------------

3 - 2(- 2.6x + 2.1) - 5.2x - 1.1 ← distribute parenthesis

= 3 + 5.2x - 4.2 - 5.2x - 1.1 ← collect like terms

= - 2.3

Then the 2 expressions are not equivalent

Answer 2

2x-3(1.3x-2.5)=5.9x+7.5

• Equivalent Expression

3-2(-2.6x+2.1)=5.2x-1.1

• Not Equivalent Expression

Explanation:

Solving the first linear expression

• 2x-3(1.3x-2.5)=5.9x+7.5
• 2x-3.9x+7.5=5.9x+7.5
• 2x-3.9x-5.9x = 7.5-7.5
• -7.8x = 0
• x = 0/-7.8
• x = 0

Thus, we can say that it's an equivalent expression.

Now Solving the second linear expression

• 3-2(-2.6x+2.1)=5.2x-1.1
• 3+5.2x-4.2= 5.2x-1.1
• 5.2x-5.2x = -1.1-3+4.2
• 0 ≠ 0.1

Thus, we can say that it's not an equivalent expression.