9514 1404 393
Answer:
Step-by-step explanation:
The slope of a line is the same everywhere, so an equation can be written making use of that fact.
Cross-multiplying gives ...
2(y -5) = x -2
2y -10 = x -2 . . . eliminate parentheses
2y = x +8 . . . . . . . add 10; next, divide by 2
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These equations match choices B and D.
Using a system of equations, it is found that Peter had $48 at first.
<h3>What is a system of equations?</h3>A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
The ratio of peters money to henrys money is 4 : 3, hence:
After Peter spent $12, they had the same amount, hence:
y = x - 12.
Then, replacing in the ratio:
4(x - 12) = 3x
x = 48.
More can be learned about a system of equations at brainly.com/question/24342899
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