Question

Explain how to determine if the two expressions are equivalent using x = 6 and x = 10. 8x 40 8(x 5)

Answer 1

The two expressions are equivalent, which gives the same values at x=6 and x=10 when put the values of x and compare them.

What is the equivalent expression?

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given expressions are,

$8x +40$

$8(x+ 5)$

It has to determine if the two expressions are equivalent using x = 6 and x = 10.

The value of the first equation at x=6 are,

$8x +40=8(6)+40\\8x +40=48+40\\8x +40=88$

The value of the first equation at x=10 are,

$8(10) +40=80+40\\8(10) +40=120$

Now, the value of the second equation at x=6 are,

$8[(6)+5]=48+40\\8[(6)+5]=88$

Similarly, the value of the second equation at x=10 are,

$8[(10)+5]=80+40\\8[(10)+5]=120$

The values of both equation are same at x=10 and x=6.

Hence, to determine, the two expressions are equivalent using x = 6 and x = 10, put the values of x and compare the values.

Learn more about the equivalent expression here;

https://brainly.com/question/2972832