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

Explanation:

3a – 2b = 2

3a = 2b + 2

a = ⅔b + ⅔

2a + 3b = 23

2(⅔b + ⅔) + 3b = 23

`(4)/(3)b` +
`(4)/(3) + 3b = 23`

`(13)/(3)b = (65)/(3)`

`b = (65)/(13)`

b = 5

a = ⅔(5) + ⅔

a = 4

Answer 2

İ solved it. You can check below