Question

15x - 14y = 117
14x - 15y = 114

Linear equation
by elimination method

Answer 1

Answer:

Answer 5 is value of x and -3 is value of y

Step-by-step explanation:

SOLUTION

15x - 14y = 117

14x - 15y = 115

————————–

29x - 29y = 232

————————–

So,

=> 29x - 29y = 232

=> 29(x - y) = 232

=> x - y = 232/29

=> x - y = 8. Equation (1)

15x - 14y = 117

14x - 15y = 115

- + = -

————————

x + y = 2

–––––————–

So,

=> x + y = 2. Equation (2)

Now,

x - y = 8

x + y = 2

————–

2x = 10

=> 2x = 10

=> x = 10/2

=> x = 5

x value is 5.

Than,

=> x - y = 8

=> 5 - y = 8

=> -y = 8 - 5

=> -y = 3

=> y = -3

y value is -3.

Hence,

The value of x is 5 and value of y is -3

Answer 2

Step-by-step explanation:

15x - 14y = 117

14x - 15y = 114

Linear equation

by elimination method