4X-5y=13

6x + 2y = 48

Elimination

The answer to your question is: (7, 3)

Step-by-step explanation:

Equations

4x - 5y = 13 (I) 1. - Assign numbers to each equation

6x + 2y = 48 (II)

2. - Multiply (I) by 3 and (II) by - 2

12x - 15y = 39 (I) '

-12x - 4y = - 96 (II) '

3. - Sum the equations

0 - 19y = - 57

4. - Find y

y = - 57/-19

y = 3

5. - Find x

4x - 5 (3) = 13 Substitution

4x - 15 = 13 Simplifying

4x = 13 + 15

4x = 28

x = 28/4

x = 7

Result

(7, 3)