Video Transcript
Given that 𝑎 plus two 𝑏 is equal to seven, what is the value of three 𝑎 plus six 𝑏?
If we consider the equation 𝑎 plus two 𝑏 is equal to seven, then multiplying the left-hand side by three will give us the expression three 𝑎 plus six 𝑏. This is because three multiplied by 𝑎 is three 𝑎 and three multiplied by two 𝑏 is six 𝑏. As we have multiplied the left-hand side by three, we need to multiply the right-hand side of the equation by three. Seven multiplied by three is 21.
If 𝑎 plus two 𝑏 is equal to seven, then three 𝑎 plus six 𝑏 is 21.