Question

solve the linear equation by substitution method x+2y = 14 and x - 2y = 5 find x and y​

Answer 1

Answer:

x=8 and y=3/2

Explanation:

x+2y=14

x-2y=5

From equations 1 and 2,

4y=9

y=3/2

Substituting for finding x

x-2(3/2)=5

x-3=5

x=8

Answer 2

Answer:

x = 9.5 , y = 2.25

Explanation:

x + 2y = 14 ______(i)

x - 2y = 5 _______ (ii)

By adding equation (i) from (ii).

x + 2y = 14

x-2y=5

______

(+) (-) (+)

______

2x =19

x =19÷2

x =9.5

Putting value in equation (i).

x + 2y = 14

9.5 + 2y = 14

2y = 14 - 9.5

y = 4.5 ÷ 2

y = 2.25