Question

Consider the following system of equations.
2a + 3b = 23
3a – 2b = 2
What is the solution to the system?
Enter the number in each box.
a =
b =

Answer 1

İ solved it. You can check below

Answer 2

Answer:

Step-by-step explanation:

3a – 2b = 2

3a = 2b + 2

 a = ⅔b + ⅔

            2a + 3b = 23

2(⅔b + ⅔) + 3b = 23

       $\frac{4}{3}b$ + $\frac{4}{3} + 3b = 23$

                   $\frac{13}{3}b = \frac{65}{3}$

                      $b = \frac{65}{13}$

                      b = 5

a = ⅔(5) + ⅔

a = 4