Question

What is the solution to the system of equations?

3x+2y=39
5x-y=13

(4, 7)
(7, 4)
(12, 5)
(5, 12)

Answer 1

answer is (5,12)...
3(5)+2(12) = 39

5(5) - 12 = 13

Answer 2

The solution of the given system is (5,12).

Explanation:

Here, the given system of equations is,

3x + 2y = 39 -------(1),

5x - y = 13 ---------(2),

Equation (1) + 2 × Equation (2),

We get,

3x + 10 x = 39 + 26

13x = 65

⇒ x = 5

From equation (1),

3(5) + 2y = 39,

15 + 2y = 39

2y = 39 - 15

2y = 24

⇒ y = 12,

Hence, the solution of the given system is (5,12).