Question

A school treasurer purchased jackets for the school store. She used the system of equations below to determine the price for each student jacket, x , and the price for each adult jacket , y. Write a system of equations that has the same solution set as the system of equations

Answer 1

A:
`7x+y=801`

B:
`18x+3y=1949`

Explanation:

we are given system of equations as

`84x+12y=9612`

`126x+21y=13643`

We can simplify each system of equations

`84x+12y=9612`

we can factor out common terms

`12* 7x+12* y=12* 801`

`12(7x+y)=12* 801`

we can divide both sides by 12

`7x+y=801`

now, we can simplify second system of equation

`126x+21y=13643`

Firstly, we can factor

`7* 18x+7* 3y=7*1949`

`7(18x+3y)=7*1949`

we can divide both sides by 7

`18x+3y=1949`

so, we get

A:
`7x+y=801`

B:
`18x+3y=1949`