Determine Number Solutions Explained for Students (Easy Guide)

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Original Question

15. Determine the number of solutions to the system of equations: -3x=9y=30 x-3y=9 A. one solutions B. Infinite solutions C. No solutions D. Two solution 14. Determine the number of solutions to the system of equations: 10x -12y=8 -15x+18y=12 A. one solutions B. Infinite solutions C. No solutions D. Two solution 11. Solve the system of equations: 9x=10y=2 15x=18y=4 9. Aliyah works at a local farm. She has been asked to make 20 gallons of a 40% milkfat solution, but she only has 25% and 50% solutions on hand. How much of the 25% and 50% solutions should be used to make the 40% solution? A. 6.5 gallons of 25% milkfat and 13.5 gallons of 50% milkfat B. 8 gallons of 25% milkfat and 12 gallons of 50% milkfat C. 10 gallons of 25% milkfat and 10 gallons of 50% milkfat D. 7.5 gallons of 25% milkfat and 12.5 gallons of 50% milkfat 7. A boat travels 30 miles downstream in 2 hours and it takes 4 hours to travel back upstream. What is the speed of the boat if it were in still water and what is the speed of the river current? A. The boat’s speed is 23 miles per hour and the current speed of the river is 7 miles per hour B. The boat’s speed is 15 miles per hour and the current speed of the river is 5 miles per hour C. The boat’s speed is 11.25 miles per hour and the current speed of the river is 3.75 miles per hour D. The boat’s speed is 30 miles per hour and the current speed of the river is 0 miles per hour 5. The manufacturing of a new fad kid’s toy costs Y=0.3x+7,200 and the revenue from sales of the new toy is Y =1.2x where y is measured in dollars and x is the number of toys. Find the break-even point for the toys. A. 6,000 toys sold at a cost of $7,200 B. 8,000 toys sold at a cost of $9,600 C. 9,600 toys sold at a cost of $8,000 D. 4,800 toys sold at a cost of $5,760 4. Tickets for a carnival cost $12 for adults and $7 for kids. Total attendance for the first day of the carnival was 580 and total ticket sales were $4,860. How many of each ticket type were sold? A. 212 adult tickets, 368 kid’s tickets B. 765 adult tickets, -185 kid’s tickets C. 103 adult tickets, 477 kid’s tickets D. 160 adult tickets, 420 kid’s tickets 2. If we have a system of two linear equations in two variables that has infinite solutions, what would we see on the graph? A. Two perpendicular lines B. Two skew lines C. Two distinct parallel lines D. One line superimposed on the other 1. You are shown a graph of two lines that intersect once at the point ( what do you know must be true of the system of equations? A. There is one unique solution to the system B. The two lines are parallel C. Not enough information D. The two lines are perpendicular

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