Question

Solve both equations 2x + 13y = 36 and 13x + 2y = 69
Select one:
a. x=2
b. x=0
c. x=5
d. y=6
e. y=4
f. y=1

Answer 1

Step-by-step explanation:

2x+13y=36 (1)

13x+2y=69 (2)

First solve equation (1) for x as

2x=36-13y

x=(36-13y)/2 (3)

put the value of x from (3) into (2)

13(36-13y)/2+2y=69

Taking LCM

(468-169y+4y)/2=69

468-165y=69*2

468-165y=138

-165y=138-468

-165y=-330

y=-330/-165

y=2 (4)

Put the value of y from (4) into (3) to find x as

x=(36-13y)/2

x=(36-13*2)/2

x=36-26)/2

x=10/2

x=5

Solution set={5,2}