Final answer:
To find the value of x that makes m equal to n given m, 8x, and (4x + 243), set up the equation m = 8x = (4x + 243) and solve for x.
Step-by-step explanation:
To find the value of x that makes m equal to n given m, 8x, and (4x + 243), we need to set up an equation. The equation would be m = 8x = (4x + 243). To solve for x, we can equate the two expressions for m and solve for x:
- 8x = 4x + 243 (Distribute the 4 to x and add 243)
- 4x = 243 (Combine like terms)
- x = 243/4 (Divide both sides by 4)
- x = 60.75 (Simplify the fraction)
Therefore, the value of x that makes m equal to n is 60.75.