2x+5y=4
2x-2y=18
using the method of elimination

Equation Form:

x=7,y=−2

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of x

opposite.

(−1)⋅(2x+5y)=(−1)(4)

2x−2y=18

Simplify.

−2x−5y=−4

2x−2y=18

Add the two equations together to eliminate x

from the system.

(−2x−5y=−4) +(2x−2y=18) = (-7y=14)

Divide each term by −7 and simplify.

y=−2

Substitute the value found for y into one of the original equations, then solve for x.

x=7

The solution to the independent system of equations can be represented as a point. (7,−2)

The result can be shown in multiple forms.

Point Form:

(7,−2)

Equation Form:

x=7,y=−2

where is the page?

step-by-step explanation:

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).