Solving equation (X-2) / (x + 3) = 1 - (2x-13) / (x ^ 2-9) (X+1)/(X-1)+ 4/(X^2-1)=1 1/(2-X)=1/(X-2) - (6-X)/(3X^2-12)

Solving equation (X-2) / (x + 3) = 1 - (2x-13) / (x ^ 2-9) (X+1)/(X-1)+ 4/(X^2-1)=1 1/(2-X)=1/(X-2) - (6-X)/(3X^2-12)

(x + 1) / (x-1) + 4 / (x ^ 2-1) = 1 1 / (2-x) = 1 / (X-2) - (6-x) / (3x ^ 2-12) [(x + 1) ^ 2 + 4] / (x ^ 2-1) = 1x ^ 2 + 2x + 1 + 4 = x ^ 2-12x = - 6x = 3. The test shows that 1 / (2-x) = 1 / (X-2) - (6-x) / (3x ^ 2-12) - 1 / (X-2) = 1 / (X-2) - (6-x) / [3 (x + 2) (X-2)] - 2 / (X-2)

Solve the equation 2x + 2Y = 10,3x + y = 13

2x+2y=10(1)
3x+y=13(2)
(1) Divide both sides by two
x＋y=5(3)
(2) - (3) get
2x=8
x=4
Let x = 4 generations (3) get
4＋y=5
y=1
So the solution of the original equations is
x=4
y=1

(10-2x) (6-2x) = 32, solve the equation

60-20X-12X+4X^2-32=0
4X^2-32X+28=0
X^2-8X+7=0
(X-7)(X-1)=0
X = 7 or x = 1