Write a system of equation for the following scenario. Roshaun has saved $150 and continues to save $10 each week. Keegan starts with $0 and saves $25 each week.

Let's start out with the amount of money each person will have over any period of time. Let t = time in weeks.

Roshaun will have 150 + 10t. Keegan will have 25t. we want to know when they will have the same amounts, so we set the 2 equations equal and solve for t:

150 + 10t = 25t

150 = 25t - 10t

150 = 15t

150/15 = t

10 = t

Therefore, in 10 weeks they will both have the same amount:

Roshaun: 150 + 10(10)--->150 + 100 = $250

Keegan; 25(10) = $250

Hope this helps!

Step-by-step explanation:

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39 foot into 3 pieces
one is 13 feet
 the other pieces add up to the remaining wire
 which is 39-13=26 so
 the two remaining pieces are x and y
one must be 2 less than 3 times the other
 x must be 2 less than 3 times the y
x=-2+3y
 x=3y-2
 x+y=remaining=26
 26=x+y
 x=3y-2
 subsitute
 26=3y-3+y
 add like terms
 26=4y-2
 add 2 to both sides
 28=4y
 divide by 4
 7=y
 subsitute
 7+x=26
 subtract 7
 x=19
 19>7
 7 feet is the legnth of the shorter piece