If `0.2x =10-0.5y,` then `10y+4x=` `1/2x - 2.3 y =7` `ax -8y=-1`
Text Solution
AI Generated Solution
The correct Answer is:
To solve the given problem step by step, we will start with the first equation and manipulate it to find the value of \(10y + 4x\).
### Step 1: Start with the given equation
The first equation we have is:
\[
0.2x = 10 - 0.5y
\]
### Step 2: Rearrange the equation
We can rearrange this equation to bring all terms to one side:
\[
0.2x + 0.5y = 10
\]
### Step 3: Eliminate decimals
To eliminate the decimals, we can multiply the entire equation by 20:
\[
20(0.2x) + 20(0.5y) = 20(10)
\]
This simplifies to:
\[
4x + 10y = 200
\]
### Step 4: Rearranging to find \(10y + 4x\)
We can rearrange the equation to express it in the form \(10y + 4x\):
\[
10y + 4x = 200
\]
### Conclusion
Thus, the value of \(10y + 4x\) is:
\[
\boxed{200}
\]
To solve the given problem step by step, we will start with the first equation and manipulate it to find the value of \(10y + 4x\).
### Step 1: Start with the given equation
The first equation we have is:
\[
0.2x = 10 - 0.5y
\]
...
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