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2x+13y=8 7x-9y=1
multiply both sides by opposite side’s coefficient for y
so
9(2x+13y) = 9(8) 13(7x-9y)=13(1)
18x+117y = 72 91x-117y = 13 18x + 91x -72 -13 = 0 18x + 91x - 85 109x -85 = 0 109x = 85
4(x-2)=8y+7 4x-8=8y+7 4x-15=8y 4x-8y=15
-4x+8y=-15 1/4x-1/2y=1/2
multiply by 4 on all
-16x+32y=-60 x-2y=2
16x-32y=30 30
3x + 1y = 85 x + 3y = 79 -x -3y = -79 9x + 3y = 255 9x -x +79 - 255 = 0 9x -x - 176 8x - 176 = 0 8x = 176 x = 22
3(22)+1y = 85 66 + y = 85 y = 19
22,19
(x+y)/2 = 37 x+y=74 -x-y=-74 -3x-3y=-222 8x + 3y = 487
-3x+8x+222-487= 0 5x -265 = 0 5x = 265 x = 53
53+y = 74 y = 21
(a+2)(4a+3)
6
a+2
4a+3 4a+3
1
4a+3
a+2
a+2
6(4a+3) + 1(a+2)
(4a+3)(a+2)
24a+18+a+2
(4a+3)(a+2)
42a+2 (4a+3)(a+2)
entirely wrong i wolframalpha’d it
11/h - 11/(h-7) = 7/h h(h-7)(11/h - 11/(h-7)) = h(h-7)(7/h) (h-7)(11-11/7) = (h-7)(7) (h-7)(11-11/7) = 7(h-7) 11h - (11/7)h -77 -11 = 7h-49 11h - (11/7)h -88 = 7h -49 11h - (11/7)h -39 = 7h 4h - (11/7)h -39 = 0 3h - (4/7)h = 39
-8x-25
(x+2)(4x-1)
A B ----- + ----- w+3 w-2
3x+13
x^2-5x x(x-5)
s(s^2+8s+16) s(s+4)^2
A/s + B/(s+4) + C/(s+4)^2
5x^3+15x 5x(x^2+3)
A/5x + (Bx+C)/(x^2+3)
(x^2+2)
(Ax+B)/(x^2+2) + Cx+D/(x^2+2)
A/(x+3) + B/(3x+1) = (22x+26)/((x+3)(3x+1) A(3x+1) + B(x+3) = 22x+26 3xA + 1A + Bx +3B = 22x + 26 x(3A + B) + (1A + 3B) = 22x+26 x(3A+B) = 22x 3A+B = 22 1A+3B = 26 A = 5 Y = 7
(x-1)(x-5)
A/(x-1) + B/(x-5) = 4x-28/(x^2-6x+5) A(x-5) + B(x-1) = 4x-28 Ax + 5A + Bx -1B = 4x-28 x(A+B) + (5A -1B) 4x = x(A+B) 4 = A+B 5A -1B = -28 A=-4 B=8
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