3X+4Y = 67. If X=3. What is Y?
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Step-by-Step Solution
Step 1: Substitute the value of X
We are given the equation 3X+4Y=67 and the value of X=3. The first step is to substitute the value of X into the equation.
Step 2: Simplify the equation
Multiply 3 by 3 to simplify the equation. This gives us 9, so the equation becomes 9+4Y=67.
Step 3: Isolate the term with Y
To find the value of Y, we need to isolate the term 4Y. We do this by subtracting 9 from both sides of the equation.
Step 4: Calculate the value of 4Y
Perform the subtraction on the right side of the equation: 67−9=58. Now we have 4Y=58.
Step 5: Solve for Y
To find Y, divide both sides of the equation by 4. This isolates Y and gives us its value.
Step 6: Simplify the fraction
The fraction 458 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 2. This gives Y=229.