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

Answer:

A: $7x+y=801$

B: $18x+3y=1949$

Step-by-step 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

$12\times 7x+12\times y=12\times 801$

$12(7x+y)=12\times 801$

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

$7\times 18x+7\times 3y=7\times1949$

$7(18x+3y)=7\times1949$

we can divide both sides by 7

$18x+3y=1949$

so, we get

A: $7x+y=801$

B: $18x+3y=1949$