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andre [41]
3 years ago
8

12(m+3x)=18(x-3) please solve this

Mathematics
2 answers:
Natali [406]3 years ago
6 0

Answer:

Step-by-step explanation:

Equation at the end of step 1

 (12 • (m + 3x)) -  18 • (x - 3)  = 0

Equation at the end of step 2

 12 • (m + 3x) -  18 • (x - 3)  = 0

Pulling out like terms

4.1     Pull out like factors :

  12m + 18x + 54  =   6 • (2m + 3x + 9)

Equation at the end of step

4

:

 6 • (2m + 3x + 9)  = 0

STEP

5

:

Equations which are never true:

5.1      Solve :    6   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

5.2     Solve   2m+3x+9  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  2m+3x+9  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of m is -9/2 so this line "cuts" the m axis at m=-4.50000

 m-intercept = -9/2  = -4.50000

Calculate the X-Intercept :

When m = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

 x-intercept = -9/3  =  -3

Calculate the Slope :

Slope is defined as the change in m divided by the change in x. We note that for x=0, the value of m is -4.500 and for x=2.000, the value of m is -7.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -7.500 - (-4.500) = -3.000 in m. (The change in m is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -3.000/2.000 = -1.500

Geometric figure: Straight Line

 Slope = -3.000/2.000 = -1.500

 x-intercept = -9/3 = -3

 m-intercept = -9/2 = -4.50000

lorasvet [3.4K]3 years ago
4 0

Answer:

2m+3x=9

Step-by-step explanation:

12(m+3x)=18(x-3)

distribute

12m+36x=18x-54

simplify

12m+18x=54

more simplify

2m+3x=9

I believe thats all you can do

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Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{ - 2x + 28}}}}}

Step-by-step explanation:

\sf{2x + 4(7 - x)}

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Collect like terms

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\dashrightarrow{ \sf{ - 2x + 28}}

Hope I helped!

Best regards! :D

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