What is the solution to the system of equations below? y = 3/4 x - 12 and y = 4x - 31

(–4, –15)
(–4, –12)
(4, –9)
(4, –47)

(4,-47) is the solution

Step-by-step explanation:

4 is x

-47 is y

Just substitute these numbers into the equations and your solution must equal y which is - 47. This solution did equal -47 so its the one

irrational, cannot

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form