Solve the systemof equations y=3x

X=-2y+70

35?

Step-by-step explanation:

3x+2y=70

Geometric figure: Straight Line

Slope = - 3.000/2.000 = - 1.500

x-intercept = 70/3 = 23.33333

y-intercept = 70/2 = 35

Calculate the Y-Intercept:

Notice that when x = 0 the value of y is 35/1 so this line "cuts" the y axis at y=35.00000

y-intercept = 70/2 = 35

Calculate the X-Intercept:

When y = 0 the value of x is 70/3 Our line therefore "cuts" the x axis at x=23.33333

x-intercept = 70/3 = 23.33333

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 35.000 and for x=2.000, the value of y is 32.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 32.000 - 35.000 = - 3.000 in y. (The change in y 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 = 70/3 = 23.33333

y-intercept = 70/2 = 35