If 5x + 08y = 42 and x=4 what is the value of y?
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Step-by-Step Solution
Step 1: Substitute the value of x
The problem provides the equation 5x+8y=42 and states that x=4. To find the value of y, we first substitute the given value of x into the equation. Note that 08y is equivalent to 8y.
Step 2: Simplify the equation
After substituting x=4, we multiply 5 by 4 to simplify the term 5x. This gives us 20, resulting in the simplified equation 20+8y=42.
Step 3: Isolate the term with y
To isolate the term containing y, we need to move the constant term 20 to the right side of the equation. We do this by subtracting 20 from both sides.
Step 4: Calculate the difference
Now, we perform the subtraction on the right side of the equation: 42−20=22. This simplifies the equation to 8y=22.
Step 5: Solve for y
Finally, to find the value of y, we divide both sides of the equation by 8. This isolates y and gives us its numerical value. The fraction can be further simplified.
Step 6: Simplify the fraction
The fraction 822 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, 22÷2=11 and 8÷2=4.