Jason and Brittany are saving up to go on a trip together at the end of the summer. Jason had $12 at the beginning of the summer and makes $42 a day at the grocery store. Brittany had $68 at the beginning of the summer, but she is helping her aunt who is paying her $35 a day to help in his mechanic shop. Find the system of equations to represent this situation. Use the substitution method with that system to determine after how many days of working will they have the same amount of money. On that day how much money will they each have?

Step-by-step explanation:

let y be the total amount

and x be the number of days

For Jason

initial amount= $12

pay per day= $42

total is y=12+42x1

For Brittany

initial amount= $68

pay per day= $35

total is y=68+35x2

equating the two equations we can find x, which is the number of days they will have the same amount

12+42x=68+35x

collect like terms

12-68=35x-42x

-56=-7x

divide both sides by -7 to find x

x=56/7

x=8

it will take 8 days

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation:

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute: