Mathematics, 23.05.2020 00:02 myaaa13754

−5y+8x=−18
5y+2x=58
Solve the system of equations.

Answers: 3

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Answer from: mjmckay03

1: −5y+8x=−18

Slope = 3.200/2.000 = 1.600

x-intercept = -18/8 = -9/4 = -2.25000

y-intercept = 18/5 = 3.60000

2: Slope = -0.800/2.000 = -0.400

x-intercept = 58/2 = 29

y-intercept = 58/5 = 11.60000

Step-by-step explanation:

1: Step 1 :

Equation of a Straight Line

1.1 Solve -5y+8x+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 -5y+8x+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 18/5 so this line "cuts" the y axis at y= 3.60000

y-intercept = 18/5 = 3.60000

Calculate the X-Intercept :

When y = 0 the value of x is -9/4 Our line therefore "cuts" the x axis at x=-2.25000

x-intercept = -18/8 = -9/4 = -2.25000

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 3.600 and for x=2.000, the value of y is 6.800. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.800 - 3.600 = 3.200 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

2: Same thing

Answer from: Quest

5104.38 inches

step-by-step explanation:

Answer from: Quest

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00

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−5y+8x=−18
5y+2x=58
Solve the system of equations....

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