Without LCD :
1/2(4x + 6) = 1/3(9x - 24)
2x + 3 = 3x - 8
2x - 3x = -8 - 3
-x = - 11
x = 11
with LCD :
1/2(4x + 6) = 1/3(9x - 24) ...multiply by 6
3(4x + 6) = 2(9x - 24)
12x + 18 = 18x - 48
12x - 18x = -48 - 18
-6x = - 66
x = -66/-6
x = 11
Yes, the answers are the same :)
First combine like terms ( x's go with x's), so subtract 2x to both sides and you get:
5+ (3x-2x) = 6 + (2x-2x)
5 + x = 6
Isolate x by bringing 5 to the other side by subtraction
(5-5) + x = (6-5)
x = 1
Hope this helped!
Answer:
(3,2)
Step-by-step explanation:
I graphed the two lines using a graphing tool. The lines intercept at (3,2). Therefore, the solution to the system is (3,2).
Answer:
The test statistic is 
Step-by-step explanation:
From the question we are told that
The population mean is 
The The level of significance is 
The sample size is n = 18
The null hypothesis is 
The alternative hypothesis is 
The sample mean is 
The standard deviation is 
Generally the test statistics is mathematically represented as

substituting values


It is A
<span><span><span>23</span>x</span>=10</span>Step 1: Multiply both sides by 3/2.<span><span><span>(<span>32</span>)</span>*<span>(<span><span>23</span>x</span>)</span></span>=<span><span>(<span>32</span>)</span>*<span>(10)</span></span></span><span>x=<span>15
</span></span>Answer:<span>x=<span>15</span></span>