Solve by substitution x+7y=0 2x-8y=22

(x, y) = (7, - 1)

Step-by-step explanation:

given the 2 equations

x + 7y = 0 → (1)

2x - 8y = 22 → (2)

Rearrange (1) expressing x in terms of y by subtracting 7y from both sides

x = - 7y → (3)

Substitute x = - 7y in (2)

2(- 7y) - 8y = 22

- 14y - 8y = 22

- 22y = 22 ( divide both sides by - 22 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = - 7 × - 1 = 7

Solution is (7, - 1 )

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.