What is the solution of the equation x − 0.94 = −38 ?(1 point)

9 answers

The solution of the equation is x = -37.06.
What is the solution of the equation x − 9/4 = −3/8 ?(1 point)
To solve for x, we can eliminate the fractions by multiplying both sides of the equation by the least common denominator, which is 8.

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

Expanding and simplifying:

8x - 18/2 = -3

8x - 9/2 = -3

To isolate x, we can add 9/2 to both sides:

8x - 9/2 + 9/2 = -3 + 9/2

8x = -6/2 + 9/2

8x = 3/2

Dividing both sides by 8 gives us:

x = (3/2) / 8

Simplifying the division:

x = 3/16

The solution to the equation is x = 3/16.
wrong, try again
Apologies for the previous incorrect response. Let's try solving the equation again:

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

x - 9/4 = -3/8

To eliminate the fractions, we can multiply both sides of the equation by the least common multiple (LCM) of the denominators, which is 8.

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

Expanding and simplifying:

8x - 18/4 = -3/1

8x - 9/2 = -24/8

To simplify the equation further, we can convert 24/8 to a common fraction by reducing it:

8x - 9/2 = -3

Adding 9/2 to both sides:

8x - 9/2 + 9/2 = -3 + 9/2

8x = -6/2 + 9/2

8x = 3/2

Dividing both sides by 8:

x = (3/2) / 8

Simplifying the division:

x = 3/16

Therefore, the solution to the equation is x = 3/16.
give me a different answer
Apologies for the previous incorrect responses. Let's try solving the equation again:

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

x - 9/4 = -3/8

To eliminate the fractions, we can multiply both sides of the equation by the least common multiple (LCM) of the denominators, which is 8.

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

Expanding and simplifying:

8x - 18/4 = -3/1

8x - 9/2 = -24/8

To further simplify the equation, let's get rid of the fractions by multiplying every term by 2:

2*(8x - 9/2) = 2*(-3/1)

16x - 9 = -6

Next, let's isolate x by adding 9 to both sides:

16x - 9 + 9 = -6 + 9

16x = 3

Dividing both sides by 16:

x = 3/16

Therefore, the solution to the equation is x = 3/16.
correct answer is 15/8
answers:
1. 7
2. 8
3. 7/8
4. -2.97
5. 15/8
hope this helps
Apologies for the previous incorrect responses. Let's solve the equation again to obtain the correct answer:

x - 9/4 = -3/8

To eliminate the fractions, we can multiply both sides of the equation by the least common multiple (LCM) of the denominators, which is 8:

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

Expanding and simplifying:

8x - 18/4 = -3/1

8x - 9/2 = -24/8

To further simplify the equation, we can multiply every term by 2 to get rid of the fractions:

2 * (8x - 9/2) = 2 * (-24/8)

16x - 9 = -6

Next, let's isolate x by adding 9 to both sides:

16x - 9 + 9 = -6 + 9

16x = 3

Dividing both sides by 16:

x = 3/16

My analysis and previous response were correct in concluding that the solution of the equation x - 9/4 = -3/8 is x = 3/16, not 15/8. I apologize for any confusion caused by the incorrect alternative answer provided earlier.
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