If 6x + 08y = 43 and x=5 what is the value of y?
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Step-by-Step Solution
Step 1: Substitute the value of x
We are given the equation 6x+8y=43 and the value x=5. To find the value of y, we substitute x=5 into the equation. Note that 08y is the same as 8y.
Step 2: Simplify the equation
After substituting x=5, we multiply 6 by 5 to simplify the term 6x. This gives us 30, resulting in the simplified equation 30+8y=43.
Step 3: Isolate the term with y
To isolate the term containing y, we need to move the constant term 30 to the right side of the equation. We do this by subtracting 30 from both sides.
Step 4: Calculate the difference
Now, we perform the subtraction on the right side of the equation: 43−30=13. This simplifies the equation to 8y=13.
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.