Write and solve an equation for each situation.

Mathematics

1 answer:

cestrela7 [59]3 years ago

7 0

Answer:

Peter 8 and Alice 10 home runs.

Step-by-step explanation:

Let the home runs by peter be represented by "x" and the home runs of Alice be represented by "y".

Altogether the hit 18 home runs. This means sum of x and y would be 18. So we can write the equation as:

x + y = 18 Equation 1

Peter hit twice the difference of the number of home runs Alice hit and 6. Difference of the number of home runs Alice hit and 6 is y - 6 and twice of this difference would be 2(y - 6). So, we can set up the second equation as:

x = 2(y - 6) Equation 2

Substituting the value of x from Equation 2 into Equation 1, we get:

2(y - 6) + y = 18

2y - 12 + y = 18

3y = 30

y = 10

Substituting the value of y in Equation 2, we get:

x = 2(y - 6) = 2(10 - 6) = 2(4) = 8

This means, Peter hit 8 home runs and Alice hit 10 home runs.

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Step-by-step explanation:

Given:

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