Q:

Combine c=3a+5 and 4b=a+10 to give an equation for c not involving a

Accepted Solution

A:
To eliminate the variable "a" and express "c" in terms of "b," you can substitute the expression for "a" from the second equation (4b = a + 10) into the first equation (c = 3a + 5). Here's how you can do it: First, solve the second equation (4b = a + 10) for "a": a = 4b - 10 Now, substitute this expression for "a" into the first equation (c = 3a + 5): c = 3(4b - 10) + 5 Now, simplify the equation: c = 12b - 30 + 5 c = 12b - 25 So, the equation for "c" not involving "a" is: c = 12b - 25