Question

I found the gcf for 22 and 30 found the lcm for 3 and 8 I'm confused about what G and H are for this equation. Can you please help thanks.

Answer 1

We will solve for the variable "G" and "H" from the given two equations.

The two equations given for each variable are:

`\begin{gathered} 3\cdot\text{ ( 7 + 10 ) = G + 30} \\ 5\cdot\text{ ( 3 + H ) = 15 + 45} \end{gathered}`

Each equation consists of a single variable as above:

`\begin{gathered} 3\cdot(17)\text{ = G + 30} \\ 51\text{ = G + 30} \\ G\text{ = 21 }\ldots\text{ Answer} \end{gathered}`

Similarly we will solve the other equation for the variable ( H ):

`\begin{gathered} 5\cdot(3+H)\text{ = 60} \\ \\ (5)/(5)\cdot(3+H)\text{ = }(60)/(5) \\ \\ 3\text{ + H = 12} \\ \\ H\text{ = 12 - 3} \\ \\ H\text{ = 9 }\ldots\text{ Answer} \end{gathered}`