Solve the following system of equations algebraically. 2x = 5y + 8. 3x + 2y = 31

2 answers:

7 0

<span>2x = 5y + 8. (1st)
3x + 2y = 31 so 3x = -2y + 31 (2nd)

multiply (1st equation) by 3 and (2nd equation) by 2

</span>6x = 15y + 24
6x = -4y + 62
-----------------------subtract
0 = 19y - 38
19y = 38
y = 2

<span>2x = 5y + 8
</span><span>2x = 5(2) + 8
2x = 18
x = 9

answer
solution (9, 2)</span>

mel-nik [20]3 years ago

4 0

x=−12.301587 and y= 31/ 2

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In which:

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In this problem, we have a 99% confidence level, hence $\alpha = 0.99$ , z is the value of Z that has a p-value of $\frac{1+0.99}{2} = 0.995$ , so the critical value is z = 2.575.