Solve the equation: [tex]h / 9=7[/tex].
A) [tex]h=63[/tex]
B) [tex]h=-63[/tex]
C) [tex]h=7 / 9[/tex]
D) [tex]h=1^{2 / 7}[/tex]
Answer (2)
Multiply both sides of the equation by 9: 9 h × 9 = 7 × 9 .
Simplify the equation: h = 7 × 9 .
Calculate the value of h: h = 63 .
The solution to the equation is 63 .
Explanation
Isolating h We are given the equation 9 h = 7 and we need to find the value of h that satisfies this equation. To isolate h , we need to perform the inverse operation of division, which is multiplication. We will multiply both sides of the equation by 9.
Multiplication Multiplying both sides of the equation 9 h = 7 by 9, we get: 9 h × 9 = 7 × 9 h = 7 × 9
Calculating the value of h Now, we perform the multiplication: h = 63
Final Answer Therefore, the solution to the equation 9 h = 7 is h = 63 . Comparing this result with the given options, we see that option A matches our solution.
Examples
Imagine you're baking a cake and the recipe calls for a certain ratio of flour to sugar. If you know you need 7 cups of sugar and the ratio is such that you need 9 times more flour than sugar, this problem helps you calculate exactly how much flour you need. By understanding how to solve simple equations like this, you can easily adjust recipes or scale ingredients to get the perfect result every time. This is a practical application of algebra in everyday cooking!
To solve 9 h = 7 , multiply both sides by 9 to isolate h . This gives h = 63 , which matches option A. Therefore, the answer is option A: h = 63 .
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