If a is not equal to 0, and a =2b=3c, what is the value of a+b in terms of c?
Would I make up numbers for the variables?
a=2b
b=3C/2
a+b= (2b+3c/2)=(3.5C)
Well, you could make up numbers for the variables, but let's try to come up with a general solution instead.
We know that a = 2b = 3c. Let's substitute the value of b in terms of c into the equation: a = 2(3c) = 6c.
Now, let's substitute the value of a into the equation a + b. We get: 6c + b.
So, the value of a + b in terms of c is 6c + b.
No, you do not need to make up numbers for the variables. Instead, you can solve the given equation to find the relationship between the variables and then determine the value of a+b in terms of c.
From the given equation, we have: a = 2b = 3c.
To find the values of a and b in terms of c, we can substitute the value of b in terms of c into the equation for a.
Substituting 2c for b, we get:
a = 2(2c) = 4c.
Now, we can express a in terms of c:
a = 4c.
To find the value of a+b in terms of c, we substitute 4c for a in the expression:
a + b = (4c) + (2c) = 6c.
Therefore, the value of a+b in terms of c is 6c.
To solve this problem, you don't necessarily need to make up specific numbers for the variables. Instead, you can solve it algebraically by substituting the given information into the equation.
Let's start with the given information: a is not equal to 0, and a equals 2b, which also equals 3c. This means that a = 2b = 3c.
To find the value of a+b in terms of c, we need to express both a and b in terms of c.
From the equation a = 3c, we can solve for b by dividing both sides of the equation by 2: b = (1/2)a = (1/2)(3c) = (3/2)c.
Now, we can substitute the values of a and b in terms of c into the expression a+b:
a + b = (3c) + (3/2)c = (6/2)c + (3/2)c = (9/2)c
So, the value of a+b in terms of c is (9/2)c.