What is the solution of the equation x − 9/4 = −3/8 ?(1 point)

Answer 1

To find the solution of the equation, we need to isolate the variable x. We can do this by performing operations on both sides of the equation to get rid of any constants.

Starting with the equation: x - 9/4 = -3/8, we can add 9/4 to both sides:

x - 9/4 + 9/4 = -3/8 + 9/4

Simplifying the equation:

x = -3/8 + 9/4

To add the fractions, we need a common denominator. The least common multiple of 8 and 4 is 8. We can rewrite -3/8 with a denominator of 8:

x = (-3/8) * (2/2) + 9/4

x = -6/16 + 9/4

To add the fractions now, we can rewrite -6/16 with a denominator of 4:

x = -6/16 * (1/1) + 9/4

x = -6/4 + 9/4

Now that the fractions have the same denominator, we can add them:

x = (-6 + 9) / 4

x = 3/4

Therefore, the solution to the equation x - 9/4 = -3/8 is x = 3/4.

Answer 2

wrong

Answer 3

Apologies for the mistake. Let's correct the solution:

Starting with the equation: x - 9/4 = -3/8, we can add 9/4 to both sides:

x - 9/4 + 9/4 = -3/8 + 9/4

Simplifying the equation:

x = -3/8 + 9/4

To add the fractions, we need a common denominator. The least common multiple of 8 and 4 is 8. We can rewrite -3/8 with a denominator of 8:

x = -3/8 * (1/1) + 9/4

x = -3/8 + 18/8

Now that the fractions have the same denominator, we can add them:

x = (-3 + 18) / 8

x = 15/8

Therefore, the solution to the equation x - 9/4 = -3/8 is x = 15/8.