Question

Solve this linear system by using elimination
4x+5y=14
2x-3y=-2
Please help and explain in full steps

Answer 1

1. Multiply one of the equations to ensure that both equations have at least one common factor.

E.g.
4x+5y=14
4x-6y=-4

2. Top eqn. - bottom eqn.

E.g.
-y=10
so
y=-10

3. Substitute result into one of the original eqns.

E.g.
4x+5(-10)=14
=
4x-50=14
=
4x=64
=
x=26.

So y=-10 & x=26

Answer 2

Thanks so much

Answer 3

No problem. I enjoyed it :P

Answer 4

on my awnser sheet it says x=16/11 and y=18/11

Answer 5

...let me check my working lol

Answer 6

Ah...
1. Multiply one of the equations to ensure that both equations have at least one common factor.

E.g.
4x+5y=14
4x-6y=-4

2. Top eqn. - bottom eqn.

E.g.
11y=18
so
y=18/11

3. Substitute result into one of the original eqns.

E.g.
4x+5(18/11)=14
=
4x+90/11=14
=
4x=64/11
=
x=16/11.

So y=18/11 & x=16/11.

Yeah, that's better. Made a simple error at part 2 the 1st time.