3X+4Y=36. If X=2. 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=36 and the value X=2. To find Y, we substitute the value of X into the equation.
Step 2: Simplify the equation
After substituting X=2, we multiply 3 by 2 to simplify the equation. This gives us 6+4Y=36.
Step 3: Isolate the term with Y
To isolate the term containing Y, we subtract 6 from both sides of the equation. This moves the constant term to the right side.
Step 4: Calculate the value
Now, we perform the subtraction on the right side of the equation: 36−6=30. So, the equation becomes 4Y=30.
Step 5: Solve for Y
To find the value of Y, we divide both sides of the equation by 4. This isolates Y and gives us its numerical value.
Step 6: Simplify the fraction
Finally, we simplify the fraction 430. Both the numerator and denominator can be divided by 2, resulting in 215, which is 7.5.