39x - 45 = 15x - 24
15(x-3) :)
(x - 3)(x + 1)(x + 2)(x + 4)
24
27
24/48 = 1/2
15x minus 8=minus 180 3x+8=24
false, there is a solution -34x - 9 = 24 +9 +9 -34x = 33 x= - 33/34 or x = -.970588
Set up the equation and solve: 15x - 8 - 3x = 16 (next add 8 to each side) 15x - 3x - 16 + 8 (next simplify) 12x = 24 (next divide both side by 12 to solve for x) x = 2
If: 15x = 360 then x equals 360/15 = 24
Presumably this is a simultaneous equation question. 5x-7y = -40 3x = 2y-24 3(5x-7y = -40) 5(3x-2y = -24) After aligning the letters and numbers multiply the top equation by 3 and the bottom equation by 5. Note that 2y is now -2y because it has moved over to the other side of the equation. 15x-21y = -120 15x-10y = -120 To eliminate x subtract the bottom equation from the top equation remembering that a - - is equal to a + 0-11y = 0. So y will = 0 Substitute the value of y into the equations to find the value of x Solution: x = -8 and y = 0
15(x-3) :)
It is 15x -24 when simplified
24
(x - 3)(x + 1)(x + 2)(x + 4)
f(x)=mx+b m= .15 (slope) b=constant f(x)=.15x+ 24 f(85)=.15(85)+24= $36.75 -------------------------------------------------- f(x)=.15x+24=$42 -24 -24 f(x)=.15x=$42 .15/42 x=120mi
Caleb's solution: 12x + 3 = 3(5x + 9) 7x + 3 = 3(9) (incorrect step) 7x + 3 = 27 (correct next step if previous step were correct) 7x = 24 x = 24/7 Caleb's incorrect step is going from the first line to the second line. The distribution of the 3 on the right-hand side of the equation should result in 15x + 27, not 3(9) which is 27. So the correct next line should be: 12x + 3 = 3(5x + 9) 15x + 27 = 15x + 27 (distribute 3 on the right-hand side) 12x + 3 = 15x + 27 (subtract 15x from both sides) -3x = 24 x = -8 Roberto's solution: 12x + 3 = 3(5x + 9) 12x + 3 = 15x + 27 (incorrect step) 27x + 3 = 27 (correct next step if previous step were correct) 27x = 24 x = 24/27 Roberto's incorrect step is going from the first line to the second line. Adding 3 to both sides of the equation does not result in the distribution of 3 on the right-hand side. The correct next line should be: 12x + 3 = 3(5x + 9) 12x + 3 = 15x + 27 (distribute 3 on the right-hand side) -3x = 24 x = -8/3 or approximately -2.67 Therefore, Caleb's solution has the correct final answer, but an incorrect step, while Roberto's solution has both an incorrect step and an incorrect final answer.
38=a + 12. A is not divisible evenly, so to get another equivalent equation you can multiply everything by the same thing, i.e. 2 being easiest. 76=2a + 24