Question

7x+2y=11
4x-7y=-10

Answer 1

multiply first equation by 7 and second by 2
adding will then eliminate y
find value of x
then you can find y by substitution

Answer 2

7x+2y=11..........eqn 1
4x-7y=-10.........eqn 2
multiply eqn 1 by 7 and eqn 2 by 2
49x+14y=77........eqn 3
8x-14y=-20.........eqn 4
add eqn 3 and 4
49x+8x=77-20
57x=57
x=1
substitute x=1 into eqn 1
7(1)+2y=11
7+2y=11
2y=11-7
2y=4
y=2
therefore x=1 and y=2