Solve for x . 11/4x+9=31 (1 point)

7 answers

To solve for x, we need to isolate it on one side of the equation.

We start by subtracting 9 from both sides of the equation:

11/(4x) + 9 - 9 = 31 - 9
11/(4x) = 22

Next, we multiply both sides of the equation by 4x to eliminate the fraction:

4x * (11/(4x)) = 22 * 4x
11 = 88x

To solve for x, we divide both sides of the equation by 88:

11/88 = (88x)/88
1/8 = x

Therefore, x = 1/8.
nope
Apologies for the error. Let's solve the equation again correctly.

Given: (11/4)x + 9 = 31

To solve for x, we will follow the steps:

1. First, subtract 9 from both sides of the equation:

(11/4)x = 31 - 9
(11/4)x = 22

2. Next, multiply both sides of the equation by the reciprocal of the coefficient of x (4/11):

[(4/11)(11/4)]x = (22)(4/11)
1x = 88/11
x = 8

Therefore, the solution to the equation is x = 8.
Solve for x . 3/7x−4=−1 (1 point)
To solve for x, we need to isolate it on one side of the equation.

Given equation: (3/7)x - 4 = -1

First, we add 4 to both sides of the equation to eliminate the -4:

(3/7)x = -1 + 4
(3/7)x = 3

Next, we multiply both sides of the equation by the reciprocal of (3/7), which is (7/3):

[(7/3)(3/7)]x = (3)(7/3)
1x = 21/3
x = 7

Therefore, the solution to the equation is x = 7.
Solve for x . 3−6/5x=−3 (1 point)
To solve for x in the equation 3 - (6/5)x = -3, we can follow these steps:

1. First, let's isolate the term containing x by adding 6/5x to both sides:

3 - (6/5)x + (6/5)x = -3 + (6/5)x

Simplifying the left side,

3 = -3 + (6/5)x

2. Next, let's simplify the equation further by moving the constant term -3 to the other side:

3 + 3 = (6/5)x

6 = (6/5)x

3. To solve for x, we need to multiply both sides by the reciprocal of (6/5), which is (5/6):

(5/6) * 6 = (5/6) * (6/5)x

5 = x

So the solution is x = 5.
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