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3 years ago

13

Solve the following equation. 3 | 2 - x | = -6

2 answers:

Alex777 [14]3 years ago

7 0

Let's solve your equation step-by-step.
3
(
|
2
−
x
|
)
=
−
6
3
(
|
−
x
+
2
|
)
=
−
6
Step 1: Divide both sides by 3.
3
(
|
−
x
+
2
|
)
3
=
−
6
3
|
−
x
+
2
|
=
−
2
Step 2: Solve Absolute Value.
|
−
x
+
2
|
=
−
2

just olya [345]3 years ago

5 0

3*(2-x) =-6
2-x=-6/2
2-x=-2
-x=-2-2
-x=-4
x=4//

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Solve the system of linear equations using multiplication.

Anna71 [15]

Answer:

$(8,-1)$

Step-by-step explanation:

The given system is:

$3x+3y=21$

$6x+12y=36$

Since I prefer to use smaller numbers I'm going to divide both sides of the first equation by 3 and both sides of the equation equation by 6.

This gives me the system:

$x+y=7$

$x+2y=6$

We could solve the first equation for $x$ and replace the second $x$ with that.

Let's do that.

$x+y=7$

Subtract $y$ on both sides:

$x=7-y$

So we are replacing the second $x$ in the second equation with $(7-y)$ which gives us:

$(7-y)+2y=6$

$7-y+2y=6$

$7+y=6$

$y=6-7$

$y=-1$

Now recall the first equation we arranged so that $x$ was the subject. I'm referring to $x=7-y$ .

We can now find $x$ given that $y=-1$ using the equation $x=7-y$ .

Let's do that.

$x=7-y$ with $y=-1$ :

$x=7-(-1)$

$x=7+1$

$x=8$

So the solution is (8,-1).

We can check this point by plugging it into both equations.

If both equations render true for that point, then we have verify the solution.

Let's try it.

$3x+3y=21$ with $(x,y)=(8,-1)$ :

$3(8)+3(-1)=21$

$24+(-3)=21$

$21=21$ is a true equation so the "solution" looks promising still.

$6x+12y=36$ with $(x,y)=(8,-1)$ :

$6(8)+12(-1)=36$

$48+(-12)=36$

$36=36$ is also true so the solution has been verified since both equations render true for that point.

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