If 6x+08y=436x + 08y = 43 and x=5x = 5 what is the value of y?

Answer: y=138y = \frac{13}{8}

Step-by-step solution

Step 1: Substitute the value of x

We are given the equation 6x+8y=436x + 8y = 43 and the value x=5x = 5. To find the value of yy, we substitute x=5x=5 into the equation. Note that 08y08y is the same as 8y8y.

Step 2: Simplify the equation

After substituting x=5x=5, we multiply 66 by 55 to simplify the term 6x6x. This gives us 3030, resulting in the simplified equation 30+8y=4330 + 8y = 43.

Step 3: Isolate the term with y

To isolate the term containing yy, we need to move the constant term 3030 to the right side of the equation. We do this by subtracting 3030 from both sides.

Step 4: Calculate the difference

Now, we perform the subtraction on the right side of the equation: 43−30=1343 - 30 = 13. This simplifies the equation to 8y=138y = 13.

Step 5: Solve for y

Finally, to find the value of yy, we divide both sides of the equation by 88. This isolates yy and gives us its numerical value.

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