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 )

add an image

step-by-step explanation:

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9