Solve for both equations for y if not already done for you
100
4 MonthsLeslie joins a fitness club that has a membership fee of $20 plus $15 per month. Rashad’s club has a fee of $40 and charges $10 per month. In how many months will the two clubs cost the same?
4 Months
200
2x + y = 4
Y= 1/3x - 3
3,-2
200
Y = 50 + 20x
Y = 30 + 25x
4,130
200
3x - 4y = 10
x + 4y = -2
2,-1
200
Step 2
Graph each on the same coordinate plane
200
Sam needs to make a long-distance call from a pay phone. With his prepaid phone card, he will be charged $1.00
to connect and $0.50 per minute. If he places a collect call with the operator he will be charged $3.00 to connect and $0.25 per minute. In how many minutes will the phone card and the collect call cost the same?
8 min
300
Y = x + 3
Y = 2x + 5
2,5
300
x + 8y = 16
x + 2y - 4
0,2
300
2x + y = -5
2x + -5y = 13
-1,-3
300
Step 3
Find the point where the two lines intersect on the graph
300
8 daysRobin has $24.50 and her brother Wayne has $68.50. Her brother is paying her $2.75 each day to help with his chores. When will they have the same amount of money?
8 days
400
5,2 2/5x - y = 0
3x - y = 13
Yes
400
Y = 60x
Y = 40 + 55x
8,840
400
y + 3x = -2
2y - 3x = 14
-2,4
400
Step 4
Write the answer from steps 3 as an ordered pair, (x,y), and check it
400
Tank A contains 35 gallons of water and is increasing at a rate of 5 gallons per minute. Tank B contains 100 gallons of water and is decreasing at a rate of 8 gallons per minute. In how many minutes will the tanks contain the same amount of water? How much water will that be?
5 min; 60 gal
500
-2,2 x + 3y = 4
x + y = 2
No
500
Y = x + 1
4x + Y = 6
1,2
500
3x + 2y = 6
-x + y = -2
2,0
500
Calculator Steps
Y =
Zoom
Trace
2nd Trace # 5
500
A chemist has a 2% acid solution and an 8% acid solution. He wants to mix the solutions to get 300 mL of a 5.5% acid solution. How many milliliters of each solution does he need?