All categories

4 years ago

15x + 9 = 3(2x - 6) PLease Help me Ive benn stuck on this

Mathematics

2 answers:

Vitek1552 [10]4 years ago

5 0

Answer: x=−3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

15x+9=3(2x−6)

15x+9=(3)(2x)+(3)(−6)(Distribute)

15x+9=6x+−18

15x+9=6x−18

Step 2: Subtract 6x from both sides.

15x+9−6x=6x−18−6x

9x+9=−18

Step 3: Subtract 9 from both sides.

9x+9−9=−18−9

9x=−27

Step 4: Divide both sides by 9.

9x/9 = -27/9

x=−3

trapecia [35]4 years ago

3 0

Answer:

x= -3

Step-by-step explanation:

First let's work on the right side and use distributive property

15x+9= 3(2x-6)

15x+9= 6x-18

-9 -9

15x= 6x-27

-6x -6x

9x= -27

9x/9= -27/9

x= -3

Hope this helps!

You might be interested in

I’m confused on this type of math

slega [8]

Answer:

all you do is add

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

I’m the diagram, AB and CD are ______. A. Common external tangents B. Common internal tangents C. Uncommon tangents D. Simultane

alexgriva [62]

Answer:

It Is A

Step-by-step explanation:

3 0

3 years ago

Write the equation of the line that passes through

Gnom [1K]

Answer:

$y=\frac{\displaystyle 1}{\displaystyle 7}x+\frac{\displaystyle15}{\displaystyle 7}$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

$m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1}$ where two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (-1, 2) and (6, 3):

$m=\frac{\displaystyle 3-2}{\displaystyle 6-(-1)}\\\\m=\frac{\displaystyle 3-2}{\displaystyle 6+1}\\\\\m=\frac{\displaystyle 1}{\displaystyle 7}$

Therefore, the slope of the line is $\frac{\displaystyle 1}{\displaystyle 7}$ . Plug this into $y=mx+b$ :

$y=\frac{\displaystyle 1}{\displaystyle 7}x+b$

2) Determine the y-intercept (b)

$y=\frac{\displaystyle 1}{\displaystyle 7}x+b$

Plug in one of the given points and solve for b:

$2=\frac{\displaystyle 1}{\displaystyle 7}(-1)+b\\2=-\frac{\displaystyle 1}{\displaystyle 7}+b$

Add $\frac{\displaystyle 1}{\displaystyle 7}$ to both sides to isolate b:

$2+\frac{\displaystyle 1}{\displaystyle 7}=-\frac{\displaystyle 1}{\displaystyle 7}+b+\frac{\displaystyle 1}{\displaystyle 7}\\\\\frac{\displaystyle15}{\displaystyle 7} =b$

Therefore, the y-intercept of the line is $\frac{\displaystyle15}{\displaystyle 7}$ . Plug this back into $y=\frac{\displaystyle 1}{\displaystyle 7}x+b$ :