Iwill give brainliest solve

solve the equations for x: a a−(a+b)x=(b−a)x−(c+bx), if b≠ 0

x = (a^2 + c)/b

Step-by-step explanation:

a a−(a+b)x=(b−a)x−(c+bx)

<=> a^2 - ax - bx = bx - ax - c - bx

<=> a^2 - ax - bx - (bx - ax - c - bx) = 0

<=> a^2 - ax - bx - bx + ax + c + bx = 0

<=> a^2 - ax + ax - bx - bx + bx + c = 0

<=> a^2 - bx + c = 0

<=> a^2 + c = bx

=> x = (a^2 + c)/b

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