3x + 2y = 8 5x + 2y = 12
1 answer:
Answer:
Step-by-step explanation:
We can solve this in either of two ways. I'll do both.
<u>Mathematically</u>
3x + 2y = 8
5x + 2y = 12
Rewrite either equation to isolate y. I'll use
3x + 2y = 8
2y = 8 - 3x
y = (8-3x)/2
Now use this value of y in the other equation:
5x + 2y = 12
5x + 2((8-3x)/2) = 12
5x + (8 - 3x) = 12
2x = 4
x = 2
Use x=2 to find y:
y = (8-3x)/2
y = (8-3*(2))/2
y = (8-6)/2
y = 1
The point is (2,1)
<u>Graphically</u>
Graph the two equations and find the point they intersect. See attachment.
We obtain the same answer: (2,1)
You might be interested in
Let be the random variable for the number of marks a given student receives on the exam.
10% of students obtain more than 75 marks, so
where follows a standard normal distribution. The critical value for an upper-tail probability of 10% is
where denotes the CDF of
, and
denotes the inverse CDF. We have
Similarly, because 20% of students obtain less than 40 marks, we have
so that
Then are such that
and we find