narisahxf
contestada

Students in Mrs. Morton's third grade class are working on times tables, and they
demonstrate mastery by passing tests. Britney has passed 2 tests so far. Her classmate,
Liam, has passed 5 of them. From now on, Britney plans to take and pass 2 tests per week.
Meanwhile, Liam plans to do 1 per week. At some point, Britney will catch up to Liam. How
many tests will each child have passed?
Write a system of equations, graph them, and type the solution.

Respuesta :

texaschic101

Answer:

Step-by-step explanation:

let x be the number of weeks and y be total number of passed tests

brittany : y = 2x + 2

liam : y = x + 5

2x + 2 = x + 5

2x - x = 5 - 2

x = 3......so in 3 weeks, they will have passed the same amount of tests

y = 2x + 2                      y = x + 5

y = 2(3) + 2                    y = 3 + 5

y = 6 + 2                        y = 8

y = 8

in 3 weeks, they will have both passed 8 tests

solution is : x = 3 and y = 8 or (3,8)

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