Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
To solve the equation [tex]\( -\frac{3}{4} = \frac{x}{24} \)[/tex] for [tex]\( x \)[/tex], follow these steps:
1. Understand the equation: The equation is given as [tex]\( -\frac{3}{4} = \frac{x}{24} \)[/tex]. This equation can be solved by isolating [tex]\( x \)[/tex].
2. Cross-multiply to eliminate the fractions: Cross-multiplying involves multiplying the numerator of each fraction by the denominator of the opposite fraction. This step transforms the equation into a form without fractions.
[tex]\[ -3 \times 24 = 4 \times x \][/tex]
3. Simplify the multiplication on the left-hand side: Perform the multiplication:
[tex]\[ -3 \times 24 = -72 \][/tex]
Now, the equation is:
[tex]\[ -72 = 4x \][/tex]
4. Solve for [tex]\( x \)[/tex]: To isolate [tex]\( x \)[/tex], divide both sides of the equation by 4:
[tex]\[ x = \frac{-72}{4} \][/tex]
5. Simplify the division: Perform the division to find the value of [tex]\( x \)[/tex]:
[tex]\[ x = -18 \][/tex]
Therefore, the value of [tex]\( x \)[/tex] is [tex]\(-18\)[/tex].
The correct answer is [tex]\(\boxed{-18}\)[/tex].
1. Understand the equation: The equation is given as [tex]\( -\frac{3}{4} = \frac{x}{24} \)[/tex]. This equation can be solved by isolating [tex]\( x \)[/tex].
2. Cross-multiply to eliminate the fractions: Cross-multiplying involves multiplying the numerator of each fraction by the denominator of the opposite fraction. This step transforms the equation into a form without fractions.
[tex]\[ -3 \times 24 = 4 \times x \][/tex]
3. Simplify the multiplication on the left-hand side: Perform the multiplication:
[tex]\[ -3 \times 24 = -72 \][/tex]
Now, the equation is:
[tex]\[ -72 = 4x \][/tex]
4. Solve for [tex]\( x \)[/tex]: To isolate [tex]\( x \)[/tex], divide both sides of the equation by 4:
[tex]\[ x = \frac{-72}{4} \][/tex]
5. Simplify the division: Perform the division to find the value of [tex]\( x \)[/tex]:
[tex]\[ x = -18 \][/tex]
Therefore, the value of [tex]\( x \)[/tex] is [tex]\(-18\)[/tex].
The correct answer is [tex]\(\boxed{-18}\)[/tex].
Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.