Question

Solve the following simultaneous equations:

2x + y = 5
4x + y = 6
x=

y =

Answer 1

2x+y=5 ----eq(1)

4x+y=6 ----eq(2)

(a) x=?

eq(1)+(2)

2x + y = 5

4x + y = 6

(-). (-). (-)

___________

-2x =-1

x=1/2

(b) y= ?

eq(1)×2

4x + 2y =10

4x + y. =6

(-). (-). (-)

__________

y. =4

Answer:x=1/2

y=4