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djverab [1.8K]
2 years ago
15

The point (-4,8) is the mid point of the line joining the points (a+b,3b) and (-2a,2b-3a) find the values of a and b

Mathematics
1 answer:
vredina [299]2 years ago
8 0

Answer:

a=28; b=20.

Step-by-step explanation:

1) 2*(-4)=(a+b)+(-2a) and .

2) using the two equations it is possible to make up (then solve) the next system:

\left \{ {{2*(-4)=(a+b)+(-2a)} \atop {2*8=3b+(2b-3a)}} \right. \ => \ \left \{ {{-a+b=-8} \atop {-3a+5b=16}} \right. \ => \ \left \{ {{a=28} \atop {b=20}} \right.

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Step-by-step explanation: What Hayden is doing is comparing his assets against his liabilities. This will determine his net worth. His assets ideally are those that increase his net worth such as landed properties, etc while his liabilities in the simplest language are those debts he is paying off either right away, or that he must pay off eventually.

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Consider the calculations below;

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