Question

The solution to the system of equations below is (x, y). What is the value of x?

3x + y = 13

2x - 4y = 18

Answer 1

Answer: x=5

Step-by-step explanation:

3x + y = 13 ------- (1)

2x - 4y =18 ------- (2)

2x = 4y + 18 ------- (3)

(3) x 3

6x = 12y + 54 ------- (4)

(1) x 2

6x + 2y = 26 --------- (5)

sub (4) into (5)

12y + 54 + 2y =26

14y + 54 = 26

14y = -28

y = -2 --------- (6)

sub (6) into (1)

3x - 2 = 13

3x = 15

x = 5