5. When using substitution in the system of equations, what is the resulting equation? y=-3x + 5
5x – 4y=-3
a. 5x – 4(-3x+5)=3
b. 5(-3x+5) – 4y =-3
c. y=-3(5x – 4y) + 5
d. – 3x + 5 = 5x – 4y =- 3

The answer is "a" 5x-4(-3x+5)=-3

step-by-step explanation:

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b