# Video: US-SAT05S4-Q04-134102908257

If 5(𝑎 + 𝑏) = 7, what is the value of 𝑎 + 𝑏?

01:28

### Video Transcript

If five multiplied by 𝑎 plus 𝑏 is equal to seven, what is the value of 𝑎 plus 𝑏?

We’re told in the question that five multiplied by 𝑎 plus 𝑏 is equal to seven. In order to calculate the value of 𝑎 plus 𝑏, we need to divide both sides by five. On the left-hand side, five divided by five is equal to one. This means that we’re left with 𝑎 plus 𝑏. On the right-hand side, we’re left with seven-fifths or seven over five. If five multiplied by 𝑎 plus 𝑏 is equal to seven, then the value of 𝑎 plus 𝑏 is seven-fifths.

We could convert this answer into a decimal, as the line in a fraction means divide. We need to divide seven by five. This is equal to 1.4. We could also write our top heavy or improper fraction as a mixed number. Seven-fifths is the same as one and two-fifths. This is because seven divided by five is equal to one remainder two. The three answers seven-fifths, 1.4, and one and two-fifths are all correct values of 𝑎 plus 𝑏.