The equation 1/14 (196x+17-10)=______ (20x+12x) has no solution. The equation (4x+24/122)=_____ (x+16/122)
Im sure the answer for the second one is 4, (4x+24/122) = 4 (x+16/122)
To solve the equations, let's break it down step by step.
1) The equation 1/14 (196x+17-10) = ______ (20x+12x) has no solution.
To begin, distribute the 1/14 to the terms inside the parenthesis:
1/14 * 196x + 1/14 * 17 - 1/14 * 10 = ______ (20x + 12x)
Simplifying the equation:
14x + 17/14 - 10/14 = ______ (20x + 12x)
Combine the like terms:
14x + 7/14 = ______ (20x + 12x)
Next, simplify the fraction:
14x + 1/2 = ______ (32x)
To solve for the blank, we need to isolate the variable on one side of the equation. Let's bring all the terms with x to the left side:
14x - 32x = -1/2
Combine the x terms:
-18x = -1/2
To solve for x, divide both sides by -18:
x = -1/2 divided by -18
Simplifying further:
x = 1/36
Therefore, the solution to the equation 1/14 (196x + 17 - 10) = ______ (20x + 12x) is x = 1/36.
2) The equation (4x + 24/122) = _____ (x + 16/122)
To solve this equation, let's start by cross-multiplying:
(4x + 24/122) * 122 = _____ (x + 16/122) * 122
Simplifying the equation:
4x + 24 = _____ (x + 16)
Next, distribute the blank term to both terms inside the parenthesis:
4x + 24 = _____ x + _____
To solve for the blank, we need to isolate the variable on one side of the equation. Let's bring all the terms with x to the left side:
4x - x = -24
Combine the x terms:
3x = -24
To solve for x, divide both sides by 3:
x = -24 divided by 3
Simplifying further:
x = -8
Therefore, the solution to the equation (4x + 24/122) = ______ (x + 16/122) is x = -8.
But it seems you mentioned that the answer for the second equation is 4. However, when we solve the equation, we get x = -8, not 4. So, please double-check the given equation and verify the solution.