If 4x+08y=414x + 08y = 41 and x=3x = 3 what is the value of y?

Answer: The value of yy is 298\frac{29}{8}.

Step-by-step solution

Step 1: Substitute the value of x into the equation

We are given the equation 4x+8y=414x + 8y = 41 and the value of x=3x = 3. To find the value of yy, we substitute x=3x = 3 into the equation.

Step 2: Simplify the equation

Next, we multiply 44 by 33 to simplify the left side of the equation. This gives us 12+8y=4112 + 8y = 41.

Step 3: Isolate the term with y

To isolate the term with yy, we subtract 1212 from both sides of the equation. This moves the constant term to the right side.

Step 4: Calculate the difference

Now, we perform the subtraction on the right side: 41−12=2941 - 12 = 29. The equation becomes 8y=298y = 29.

Step 5: Solve for y

Finally, to solve for yy, we divide both sides of the equation by 88. This gives us the value of yy as a fraction.

More from this chapter

All Pair of Linear Equations in Two Variables solutions →

Solve your own maths question free →