SOLVE EQUATION solve for x | 3x+19 | =13 (absolute value)

Mathematics

2 answers:

egoroff_w [7]2 years ago

8 0

Answer:

x=-2 and -32/3

Step-by-step explanation:

|3x+19|=13

3x+19=13 and 3x+19=-13

x=-2 and x=-32/3

Nuetrik [128]2 years ago

4 0

Answer:

x = -2 x = -32/3

Step-by-step explanation:

| 3x+19 | =13

There are two solutions, one positive and one negative

3x+19 = 13 3x+19 = -13

Subtract 19

3x+19-19 = 13-19 3x+19 -19 =-13-19

3x = -6 3x = -32

Divide by 3

3x/3 = -6/3 3x/3 = -32/3

x = -2 x = -32/3

You might be interested in

Determine the slope of the graph of the linear<br> equation y = -3/7x + 5.

Mashutka [201]

The -3/7 would be slope because it is also the one with the x

5 0

2 years ago

PLEASE HELP WILL GIVE BRAINLYEST AND 10 POINTS!!!

Alina [70]

Answer:

Step-by-step explanation:

6 0

3 years ago

1/3 X 12 = 12 X ___ = __

valkas [14]

1/3=4 hop this help you

8 0

3 years ago

A line passes through the points (–3, –4) and (6, 2). What number is the x-intercept?

LuckyWell [14K]

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1}$

$\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{x-intercept:}\ (x,\ 0).\\\\\text{Susbtitute the coordinates of the points to the formula of a slope}\\\\(-3,\ -4),\ (6,\ 2),\ (x,\ 0):\\\\m=\dfrac{2-(-4)}{6-(-3)}=\dfrac{2+4}{6+3}=\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\\\\m=\dfrac{0-2}{x-6}=\dfrac{-2}{x-6}\\\\\text{Therefore we have the equation:}\\\\\dfrac{-2}{x-6}=\dfrac{2}{3}\qquad\text{cross multiply}\\\\2(x-6)=(-2)(3)\\\\2(x-6)=-6\qquad\text{divide both sides by 2}\\\\x-6=-3\qquad\text{add 6 to both sides}\\\\x=3$