Question

Are the linear expressions equivalent?

Drag the choices to the boxes to correctly complete the table.


Equivalent Expressions Not Equivalent Expressions

Answer 1

Its a becasue liners are equivalent and if you
Put it in a calculator it would help you better

Answer 2

2x - 3(1.3x - 2.5) = 5.9 + 7.5 is not and Equivalent.

Explanation:

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

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

2x - 3.9x + 7.5 = 13.4

Next, combine like terms on the left side:

-1.9x + 7.5 = 13.4

To isolate the variable, subtract 7.5 from both sides:

-1.9x + 7.5 - 7.5 = 13.4 - 7.5

-1.9x = 5.9

Finally, divide both sides by -1.9 to solve for x:

x = 5.9 / -1.9

x ≈ -3.1

Now, let's check if this value of x satisfies the original equation:

2(-3.1) - 3(1.3(-3.1) - 2.5) = 5.9 + 7.5

-6.2 - 3(4.03 + 2.5) = 13.4

-6.2 - 3(6.53) = 13.4

-6.2 - 19.59 = 13.4

-25.79 = 13.4

Since -25.79 is not equal to 13.4, we can conclude that the equation is not equivalent. The solution x ≈ -3.1 does not satisfy the original equation.