Which of the following equations has a solution of −114%0D%0A−%0D%0A11%0D%0A4%0D%0A?(1 point)%0D%0AResponses%0D%0A%0D%0A12x=−11%0D%0A1%0D%0A2%0D%0A%0D%0A=%0D%0A−%0D%0A11%0D%0AStart Fraction 1 over 2 End Fraction x equals negative 11%0D%0A%0D%0A−12x=112%0D%0A−%0D%0A1%0D%0A2%0D%0A%0D%0A=%0D%0A11%0D%0A2%0D%0Anegative Start Fraction 1 over 2 End Fraction x equals Start Fraction 11 over 2 End Fraction%0D%0A%0D%0A−2x=211%0D%0A−%0D%0A2%0D%0A%0D%0A=%0D%0A2%0D%0A11%0D%0Anegative 2 x equals Start Fraction 2 over 11 End Fraction%0D%0A%0D%0A−2x=112
The correct equation is: -2x = 112
The equation that has a solution of −114%0D%0A−%0D%0A11%0D%0A4%0D%0A is:
−2x = 112
To determine which equation has a solution of -114, we need to solve each equation and see which one gives us -114 as a solution. Let's go through each equation one by one:
1. 12x = -11
To solve for x, we can divide both sides of the equation by 12:
12x/12 = -11/12
x = -11/12
The solution for this equation is not -114.
2. (1/2)x = -11
To solve for x, we can multiply both sides of the equation by 2:
2 * (1/2) * x = -11 * 2
x = -11 * 2
x = -22
The solution for this equation is not -114.
3. -12x = 11/2
To solve for x, we can divide both sides of the equation by -12:
(-12x)/-12 = (11/2)/-12
x = (11/2) / -12
x = 11/2 * -1/12
x = -11/24
The solution for this equation is not -114.
4. -2x = 112
To solve for x, we can divide both sides of the equation by -2:
(-2x)/-2 = 112/-2
x = -56
The solution for this equation is not -114.
None of the given equations have a solution of -114.