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