use the linear combination method to solve the system of equations. explain each step of your solution. 3x-8y=7 x+2y=-7

1. Slope = -0.800/2.000 = -0.400

2. x-intercept = 7/4 = 1.75000

3. y-intercept = 7/10 = 0.70000

Step-by-step explanation:

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

                    3*x-8*y-(7*x+2*y-7)=0

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  -4x - 10y + 7  =   -1 • (4x + 10y - 7)

Equation at the end of step  1  :

Step  2  :

Equation of a Straight Line

2.1     Solve   -4x-10y+7  = 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  -4x-10y+7  = 0 and calculate its propertie

Notice that when x = 0 the value of y is 7/10 so this line "cuts" the y axis at y= 0.70000

 y-intercept = 7/10  =  0.70000

Calculate the X-Intercept :

When y = 0 the value of x is 7/4 Our line therefore "cuts" the x axis at x= 1.75000

 x-intercept = 7/4  =  1.75000

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 0.700 and for x=2.000, the value of y is -0.100. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.100 - 0.700 = -0.800 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -0.800/2.000 = -0.400

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

step-by-step explanation:

when the line is solid:

when the line is dashed:

this > inequality sign means:

this < inequality sign means:

this > inequality sign means:

this < inequality sign means:

about the problem:

srry i'm not done ! i'll