v1aMellgabterm
contestada

What value or values of x satisfy 2|x+5.3|=4.2

a. x can only equal –3.2.
b. x can only equal 7.4.
c. x can equal –3.2 or –7.4.
d. x can equal –3.2 or 7.4.

Respuesta :

crisforp
We have, /x+5.3/ = 2.1;
Then, x + 5.3 = 2.1 or  x + 5.3 = -2.1;
x = 2.1 - 5.3; x = -3.2;
x = -2.1-5.3; x = -7.4;
The correct answer is c.
calculista

we have

[tex]2\left|x+5.3\right|=4.2[/tex]

Step 1

Find the first solution (case positive)

[tex]2(x+5.3)=4.2[/tex]

Eliminate the parenthesis left side

[tex]2x+10.6=4.2[/tex]

Subtract [tex]10.6[/tex] both sides

[tex]2x=4.2-10.6[/tex]

[tex]2x=-6.4[/tex]

Divide by [tex]2[/tex] both sides

[tex]x=-3.2[/tex]

Step 2

Find the second solution (case negative)

[tex]2[-(x+5.3)]=4.2[/tex]

Eliminate the parenthesis left side

[tex]-2x-10.6=4.2[/tex]

Adds [tex]10.6[/tex] both sides

[tex]-2x=4.2+10.6[/tex]

[tex]-2x=14.8[/tex]

Divide by [tex]-2[/tex] both sides

[tex]x=-7.4[/tex]

therefore

the answer is the option C

x can equal –3.2 or –7.4


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