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

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

answer: b

step-by-step explanation: