Question

In the equation 0.75s-5/8 = 44, how do you combine the like terms?

Answer 1

Answer:

Step-by-step explanation:

In the given equation, the "like terms" are the constants 5/8 and 44.

It simplifies the math if we eliminate the fractions first.  Note that 0.75 = 6/8, so now we have:

8(6/8)s - 8(5/8) = 44).

Multiplying all three terms by 8 (above) yields

8(6s) - 8(5) = 8(44), or

48s              = 8(44 + 5), or 48s = 8(49)

Dividing both sides by 48 yields s:   s = 8(49/48)

Review "like terms:"  These are terms that have at least one characteristic in common.  5/8 and 44 are like terms because they are only constants (no variables are present).  We must add 5/8 and 44.   0.75s does not have a "like term" in the given equation.