The absolute value function |<em>x</em>| always returns a non-negative number. It takes any number <em>x</em> and returns <em>x</em> if it's already non-negative, or -<em>x</em> if it is negative in order to make it positive.

For the equation
-3 + 4 |2<em>x</em> - 5| = 14
rearrange terms to get
|2<em>x</em> - 5| = 17/4
Now,
• if 2<em>x</em> - 5 ≥ 0, then |2<em>x</em> - 5| = 2<em>x</em> - 5. Then
2<em>x</em> - 5 = 17/4
• and if instead 2<em>x</em> - 5 < 0, then |2<em>x</em> - 5| = -(2<em>x</em> - 5), so that
-(2<em>x</em> - 5) = 17/4, or
2<em>x</em> - 5 = -17/4
In the first case,
2<em>x</em> - 5 = 17/4
2<em>x</em> = 17/4 + 5 = 37/4
<em>x</em> = 37/8
In the second case,
2<em>x</em> - 5 = -17/4
2<em>x</em> = -17/4 + 5 = 3/4
<em>x</em> = 3/8
4(a-2)=3(a+4)
4a-8=3a+12
a=20
Answer:
GG JUJUYTBNHYJKY7UJN HGJNGHGJBTRYDYJYHBGHTDFGBGF
Step-by-step explanation:
Sin230=sin(180+50)=sin180cos50+cos180sin50=-sin50 answer 1
To solve system of equations by substitution, we are going to use the first equation to substitute into the second equation wherever you see y.



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(rounded)
Next, substitute x = 3.29 into the first equation, or to any equation you'd like, to find y.




So, your final answer would be (3.29, 4.87).