Question

X + Y = 5 and 2x - 3y = 4 solve by elimination method

Answer 1

Please check the attachment for your answer

Answer 2

x=1

y=2

Explanation:

Ok. So prefer the elimination method, but you can do this with substitution as well.

First put the equations on top of each other

x+2y=5

2x−3y=−4

Then find the variable that would be easiest to cancel out. I think it's x because you only have to modify one of the equations. Let's multiply the first equation by -2. This will allow us to cancel out the two x's in the equations.

−2x−4y=−10

2x−3y=−4

Now let's add the two equations together!

0x−7y=−14

or just

−7y=−14

Now we simply divide by -7 to get y

y=2

But wait! We're not done!

Plug y back into one of two equations to get x. I'll use the first equation again.

x+2(2)=5

which simplifies to

x+4=5

So we subtract 4 from both sides, and get

x=1

Hope this helps!