What is the solution to this system of linear equations?
y - 4x=7
2y + 4x = 2
(3,1)
(1,3)
3.-1)
(-1,3)

(- 1, 3 )

Step-by-step explanation:

Given the 2 equations

y - 4x = 7 → (1)

2y + 4x = 2 → (2)

Eliminate x by adding the 2 equations term by term

(y + 2y) + (- 4x + 4x) = (7 + 2), that is

3y = 9 ( divide both sides by 3 )

y = 3

Substitute y = 3 in either of the 2 equations and solve for x

Using (2), then

(2 × 3) + 4x = 2

6 + 4x = 2 ( subtract 6 from both sides )

4x = - 4 ( divide both sides by 4 )

x = - 1

Solution is (- 1, 3 )

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)