Question
What value of \( a \) will make the solution to the following equation be \( a x+5=35 \)
Ask by Fowler Hammond. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The value of \(a\) is 30.
Solution
Solve the equation \( a*x+5=35 \).
Solve the equation by following steps:
- step0: Solve for \(x\):
\(ax+5=35\)
- step1: Move the constant to the right side:
\(ax=35-5\)
- step2: Subtract the numbers:
\(ax=30\)
- step3: Divide both sides:
\(\frac{ax}{a}=\frac{30}{a}\)
- step4: Divide the numbers:
\(x=\frac{30}{a}\)
The solution to the equation \(ax+5=35\) is \(x=\frac{30}{a}\).
To find the value of \(a\) that makes the solution to the equation be \(ax+5=35\), we need to set \(x\) to a specific value and solve for \(a\).
Let's set \(x\) to 1 and solve for \(a\):
\[1 = \frac{30}{a}\]
\[a = 30\]
Therefore, the value of \(a\) that makes the solution to the equation be \(ax+5=35\) is \(a = 30\).
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Simplify this solution Mind Expander
To solve for \( a \), we first simplify the equation \( a x + 5 = 35 \). By subtracting 5 from both sides, we get \( a x = 30 \). Now, to isolate \( a \), we need to express \( x \) in terms of \( a \). Thus, \( a = \frac{30}{x} \). The value of \( a \) depends on the value of \( x \), so any non-zero \( x \) will give a specific value for \( a \). If you want a specific example, let's say \( x = 2 \). Plugging it in, we find \( a = \frac{30}{2} = 15 \). So, the value of \( a \) can change based on the chosen value of \( x \).
