M.8.10.c
Solve real-world and mathematical problems leading to two linear equations in two variables. (e.g., Given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.)
Example Problems
Tony is 5 years older than Beth. He is also 8 years older than half of Beth's age.
Let be Tony's age and be Beth's age.
Write a system of equations to represent this situation.
Let be Tony's age and be Beth's age.
Write a system of equations to represent this situation.
A hose fills a tank at , but a leak drains water at . If the empty tank's capacity is , how long will it take to fill completely?
Deshawn and Tyriq can weed their garden in 30 minutes together. Alone, it takes Tyriq 75 minutes to weed the garden.
How long does it take Deshawn to weed the garden alone?
How long does it take Deshawn to weed the garden alone?
Khan Academy ResourcesAge word problemsSystems of equations word problemsAge word problem: Ben & WilliamAge word problem: Arman & DiyaAge word problem: ImranSystems of equations with graphing: choresSystems of equations with substitution: coinsSystem of equations word problem: infinite solutionsSystem of equations word problem: no solutionSystem of equations word problem: walk & ride

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