Question

Iven the equations below, what is the value of b?

2a+b=8
3a−2b=5
a) 2
b) 3
c) 4
d) 5

Answer 1

To find the value of b, we can use a method called substitution or elimination. By eliminating b, we can solve for a and then substitute it back to find the value of b.

Step-by-step explanation:

To find the value of b, we can use a method called substitution or elimination. Let's use the elimination method. We have the following two equations:

2a + b = 8

3a - 2b = 5

We can multiply the first equation by 2 and the second equation by 1 to eliminate b. This gives us:

4a + 2b = 16

3a - 2b = 5

Adding the two equations, we get:

7a = 21

Solving for a, we get:

a = 3

Substituting back into the first equation, we can find the value of b:

2(3) + b = 8

6 + b = 8

b = 2

Therefore, the value of b is 2.