Mathematics, 22.04.2020 01:20 asherkbohannan

How do you solve -2(x+3y)=18

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Answer from: rosyjesus297

x=3y+18

Geometric figure: Straight Line

Slope = 0.667/2.000 = 0.333

x-intercept = 18/1 = 18.00000

y-intercept = 18/-3 = 6/-1 = -6.00000

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x-(3*y+18)=0

Step by step solution :

Step 1 :

Equation of a Straight Line

1.1 Solve x-3y-18 = 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 x-3y-18 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 6/-1 so this line "cuts" the y axis at y=-6.00000

y-intercept = 18/-3 = 6/-1 = -6.00000

Calculate the X-Intercept :

When y = 0 the value of x is 18/1 Our line therefore "cuts" the x axis at x=18.00000

x-intercept = 18/1 = 18.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -6.000 and for x=2.000, the value of y is -5.333. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.333 - (-6.000) = 0.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 0.667/2.000 = 0.333

Geometric figure: Straight Line

Slope = 0.667/2.000 = 0.333

x-intercept = 18/1 = 18.00000

y-intercept = 18/-3 = 6/-1 = -6.00000

hope this helped:)))

Answer from: Quest

3 1/3 x 2 3/5 = 8 2/3

step-by-step explanation:

just multiply the first number by the second number to get your answer.

Answer from: Quest

step-by-step explanation:

Is the following relation a function? o yes ο νο

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