Question

Bianca wrote the steps for her solution to the equation 2.3 + 8(1.3x – 4.75) = 629.9. She left out the description for the last step.

A table titled Bianca's Solution with 2 columns and 5 rows. The first row has the entries, blank, Steps, Resulting equations. The second row has the entries, 1, Use the distributive property to simplify, 2.3 plus 10.4 x minus 38 equals 629.9. The third row has the entries 2, Combine like terms, 10.4 x minus 35.7 equals 629.9. The fourth row has the entries, 3, Use the addition property of equality, 10.4 x equals 665.6. The fifth row has the entries, 4, blank, x equals 64.

What is the missing step of her solution?

Answer 1

"Use the division property of equality (divide both sides by 10.4)."

That is, 10.4x = 665.6 ⇒ x = 665.6 ÷ 10.4 = 64.