Question

Solve by substitution.
3x + 5y = 12
x + 4y = 11

Answer 1

Yay! System of equations!

Explanation:

So, to solve this with substitution!

The best one to start with is the bottom one, x+4y=11

So, we can move 4y to the other side of the equation to get the value for x!

`x=-4y+11`

So, to substitute this, we just input this x-value into the other equation!

`3(-4y+11)+5y=12`

So, we have our equation, so let's solve!

`-12y+33+5y=12\\-7y=-21\\y=3`

So, there is our y-value! Now to input this value into either one of the equations to find the x-value!

`x+4(3)=11\\x=-1`

So, there is our solution!

Hope this helps!

If you need more help, then do some research on the greatest source of information, the internet!

Answer 2

{x,y} = {-1,3}

Explanation: