Solve by the substitution method

4x+6y=-14
-2x+y=19

Question

Solve by the substitution method

4x+6y=-14
-2x+y=19

anonymous · Answer

Solve the second equation for y. Plug what you get for y into the first equation.

anonymous · Answer

i have an idea.  multiply the second equation by two.  leave the first one alone.  you get 
$$4x+6y=-14$$
$$-4x+2y=38$$  then add to get 
$$8y=24$$ so 
$$y=3$$

anonymous · Answer

That's not the substitution method unfortunately. That's the elimination method. Silly teachers imposing silly restrictions on how to do it.

anonymous · Answer

once you know 
$$y=3$$ replace y by 3 in either equation to find x. i choose the second one
$$-2x+3=-19$$
$$-2x=-22$$
$$x=11$$

anonymous · Answer

oooooooooooooooooh sorry

anonymous · Answer

i should really learn to read better. you are right but that method is rather silly here isn't it?

anonymous · Answer

I find it silly just about anywhere ;p.

I nearly always use the elimination method. Particularly since it transitions so well into matrices.

anonymous · Answer

Can you tell me if the solution, as an ordered pair is (8,3)