Question

Solve by elimination method
x+4y=19
-x+7y=14

Answer 1

eliminate x
11y = 33
y = 33/11
y = 3

substitute y in eq 1
x + 4( 3) = 19
x + 12 = 19
x = 19 -12

Answer 2

x= 7

the solution set ( 7 ,3 )

Answer 3

Just add 2 equations
x+4y-x+7y = 19+14
=> 11y = 33
=> y = 3

Now from 1st equation
x =19 - 4y
=> x = 19-12
=>x = 7

Answer 4

-x + 7y = 14
or, -x = 14 - 7y
or, x = 7y - 14

Putting the value of x in the first equation,

7y -14 + 4y = 19
or, 11 y = 19 + 14
or, 11y = 33
or, y = 33/11
= 3

so, x = 7*3 -14
= 21 - 14
= 7

So, (x,y) = (7, 3)