5x-5=-7y
3x+2y=-8
First, you need to rearrange the first equation so it is in the same format as the second one.
5x-5=-7y
Add 5 to both sides
5x-5+5=-7y+5
Add 7y to both sides
5x+7y=-7y+7y+5
So you have 5x+7y=5
Now you need to multiply that equation by 3
3(5x+7y=5)
15x+21y=15
Multiply the second equation by -5
-5(3x+2y=-8)
-15x-10y=40
Now add them together
15x+21y=15
+(-15x-10y=40)
---------------------
11y=55
y=5
Now plug y=5 into one of the original equations and solve for x.
3x+2(5)=-8
3x+10=-8
3x=-8-10
3x=-18
x=-6
To check the solution plug them both into the other equation:
5(-6)-5=-7(5)
-30-5=-35
-35=-35
It checks.
Hope that helps.
Answer:
523,000
Step-by-step explanation:
Answer:
17/20
Step-by-step explanation:
3/4 + 4/5 - 7/10
1. Find the LCD (Least Common Denominator). The LCD is 20.
2. 20/4=5. 5*3=15. So, 3/4 becomes 15/20.
3. 20/5=4. 4*4=16. So, 4/5 becomes 16/20.
4. 20/10=2. 2*7=14. So, 7/10 becomes 14/20.
5. Your new equation is 15/20 + 16/20 - 14/20.
6. Solve from left to right.
7. 15/20 + 16/20= 31/20.
8. 31/20 - 14/20= 17/20.
Answer:
324
Step-by-step explanation:
given that in a poll, 74% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?"
i.e. Sample proportion 
Margin of error = 4% = 0.04
Confidence level =90%
Z critical value for 90% = 1.645
Margin of error = 1.645 * std error
Hence std error = 
Std error is also equal to
Sample size should be 324.
The formula is sample size = (Z critical value)^2 (pq)/(Margin of error )^2
Answer:
CAD = 128
Step-by-step explanation:
CAD + CAB = DAB
We know that DAB is a straight line, so it equals 180 degrees
CAD + 52 = 180
Subtract 52 from each side
CAD +52-52 = 180-52
CAD = 128
