x + 5 = 2x + 8
Divide both sides by -3: b = 24/(-3) = -8
2
3x - 4 = 17 3x = 21 (add 4 to both sides) x = 7 (divide both sides by 3)
-2 -3x = 10 Add 2 to both sides: - 3x = 12 Divide both sides by -3: x = -4
This depends on the volume of the 40 percent solution you have. The question can be rewritten as: 40%a/(a+b) = 3% where a is the volume of the 40% solution, and b is the volume of water we need to add. Multiply both sides by (a+b) to get: 40%a = 3%a + 3%b Subtract 3%a from both sides to get 37%a = 3%b Divide by 3% to get: 12.3333...a = b Thus whatever the current volume is, you need to add 12.33333 times that volume in water in order to get a 3% solution.
If your equasion goes like this- 10x+3=15 the first you would subtract 3 from both sides -3 -3 10x=12 Now divide both sides by 10 so you get x by itself ---- ---- 10 10 x=1.2
Divide both sides by -3: b = 24/(-3) = -8
2
The equation x = 3 has a solution of x = 3. This is because when you substitute x = 3 into the equation x = 3, it satisfies the equation and makes it true. Therefore, x = 3 is the equation with the solution x = 3.
3x - 4 = 17 3x = 21 (add 4 to both sides) x = 7 (divide both sides by 3)
-2 -3x = 10 Add 2 to both sides: - 3x = 12 Divide both sides by -3: x = -4
This depends on the volume of the 40 percent solution you have. The question can be rewritten as: 40%a/(a+b) = 3% where a is the volume of the 40% solution, and b is the volume of water we need to add. Multiply both sides by (a+b) to get: 40%a = 3%a + 3%b Subtract 3%a from both sides to get 37%a = 3%b Divide by 3% to get: 12.3333...a = b Thus whatever the current volume is, you need to add 12.33333 times that volume in water in order to get a 3% solution.
3x + 8 = 23 Subtract 8 from both sides: 3x = 15 Divide both sides by 3: x = 5
For example if x3 = 27 then cube root both sides gives the solution of x = 3
-2
For the equation 3x-5=8x-30, the first thing you do is subtract 3x from both sides of the equation, so you get -5=5x-30. Next you add 30 to both sides, getting 25=5x. Lastly, you divide both sides by 5, leaving the solution of 5=x. Should your equation be 3(x-5)=8x-30, you would first multiply x-5 by 3, getting 3x-15, creating the equation 3x-15=8x-30. You would then subtract 3x from both sides, betting -15=5x-30. Then add 30 to both sides, creating an equation of 15=5x. Divide both sides by 5, and you get a solution of 3-x.
5a - 5 = 7 + 2a ( subtract 2a from both sides) 3a - 5 = 7 (add 5 to both sides) 3a = 12 ( divide both sides by 3) a = 4