What is the solution of the equation 52x = −18 ?(1 point) Responses −120 negative Start Fraction 1 over 20 End Fraction 120 Start Fraction 1 over 20 End Fraction −516 negative Start Fraction 5 over 16 End Fraction −20
To find the solution of the equation 52x = -18, we need to isolate x.
First, we can divide both sides of the equation by 52:
(52x)/52 = (-18)/52
x = -18/52
Simplifying the fraction -18/52 gives us the solution:
x = -9/26
So, the solution to the equation 52x = -18 is x = -9/26.
To find the solution of the equation 52x = -18, we need to isolate the variable x.
Step 1: Divide both sides of the equation by 52 to isolate x.
52x/52 = -18/52
Simplifying the equation gives us:
x = -18/52
Step 2: We can simplify the fraction -18/52 further:
The greatest common divisor for both -18 and 52 is 2.
Dividing both the numerator and denominator by 2 gives us:
x = -9/26
Therefore, the solution to the equation 52x = -18 is x = -9/26.
To find the solution of the equation 52x = -18, you need to isolate the variable x. Here's how you can do it:
1. Begin by subtracting 18 from both sides of the equation:
52x - 18 = -18 - 18
Simplifying the right side:
52x - 18 = -36
2. Next, isolate the term with x by getting rid of the coefficient of x. In this case, the coefficient is 52. Divide both sides of the equation by 52:
(52x - 18) / 52 = -36 / 52
Simplifying:
x - (18 / 52) = -9 / 13
3. Reduce the fraction on the left side of the equation, if possible:
x - (9 / 26) = -9 / 13
Therefore, the solution to the equation 52x = -18 is x = -9/13 or approximately -0.692.