Equation 1) y = -3/2x + 9
Equation 2) 2x + 2y = 16
Add 3/2x to both sides of equation 1.
1) 3/2x + y = 9
Then, multiply all of equation one by 2.
1) 2(3/2x + y = 9)
1) 3x + 2y = 18
2) 2x + 2y = 16
Subtract.
x = 2
Plug in 2 for x in the first equation.
y=-3/2x+9
y = -3/2(2) + 9
y = -3 + 9
y = 6
So, x=2 and y = 6
~Hope I helped!~
It is in the hundredths place
Answer:
0.969
Step-by-step explanation:
Given that:
Mean lifetime (m) = 520 hours
Variance = 900
Hence, standard deviation (s) = √900 = 30
Probability that bulb will last for at most 576 hours
X ≤ 576
Obtain the standardized score :
Using the relation :
Zscore = (x - m) / s
Zscore = (576 - 520) / 30
Zscore = 56 / 30
Zscore = 1.867
P(Z ≤ 1.867) : using the z probability calculator ;
P(Z ≤ 1.867) = 0.96905
Hence, P(Z ≤ 1.867) = 0.969
When you multiply the equation 1 by 1, then it won't change and will be:
<span>6x − 2y = 3
Now, when you'll add 2nd equation to it, then, it is:
= 11x + y = 7
In short, Your Answer would be Option D) </span><span>Show that the solution to the system of equations 11x + y = 7 and 5x + 3y = 4 is the same as the solution to the given system of equations
Hope this helps!</span>
