7 and 8. You know that the sum of any two consecutive whole numbers, x and x +1, is 2x +1 2x + 1 = 15 2x = 14 x = 7
(2x) + (2x+2) + (2x+4) + (2x+6) + (2x+8) = 26010x + 20 = 26010x = 240x = 24The integers are 48, 50, 52, 54, and 56
If: 2x+8 = 7 then x = -1/2
Set up the equation and solve: 8x + 8 = 2x +38 (subtract 2x and 8 from both sides of the equation) 6x = 30 (divide both sides of the equation by 6) x = 5
You find 2 numbers with a difference or sum of 2 which multiply to give -8. One possibility is that the numbers are -4 and 2, but the sign of the 2x term is needed. If the full equation is x2 - 2x - 8 then the factors are (x - 4)(x + 2) On the other hand if the 2x term is positive the factors are (x + 4)(x - 2)
Four consecutive odd integers: [2x-1], [2x+1], [2x+3], [2x+5].Their sum: (2x-1) + (2x+1) + (2x+3) + (2x+5) = 8x + 8 = 8(x+1) = 28,458,968(x+1) = 28,458,968/8 = 3,557,371x = 3,557,370The numbers are:7,114,739=> 7,114,741
-2(x + 9) = -8 -2x - 18 = -8 -2x = 10 x = -5
4(x + 5) = 2x + 8 4x + 20 = 2x + 8 2x = -12 x = -6
7 and 8. You know that the sum of any two consecutive whole numbers, x and x +1, is 2x +1 2x + 1 = 15 2x = 14 x = 7
(2x) + (2x+2) + (2x+4) + (2x+6) + (2x+8) = 26010x + 20 = 26010x = 240x = 24The integers are 48, 50, 52, 54, and 56
Sum Numb!
If: 2x+8 = 7 then x = -1/2
3x + (-4) ≥ 2x + 8
If the sum of a number and 4 is (X + 4) then twice that is 2(X + 4) which is 2X + 8
Set up the equation and solve: 8x + 8 = 2x +38 (subtract 2x and 8 from both sides of the equation) 6x = 30 (divide both sides of the equation by 6) x = 5
4*(2x + 8) = 32
2x-4y=-8-2x......-2x-4y=-2x-8(-4y)/-4 | (-2x-8)/-4y=1/2x+2