Answer:
Explanation:
To solve the equation x/6=(x+10)/42 for x, we can cross-multiply and simplify:
x/6 = (x+10)/42
42x = 6(x+10) (multiply both sides by 42)
42x = 6x + 60 (distribute on the right side)
36x = 60 (subtract 6x from both sides)
x = 5/3 (divide both sides by 36)
Now that we have found x, we can substitute it into the expression 6x+10 and evaluate:
6x + 10 = 6(5/3) + 10 = 10 + 10 = 20
Therefore, 6x+10 equals 20 when x/6=(x+10)/42 and x is 5/3.