1) −3x+y=−13 4x+5y=1 −3x+y=−13( this is y) Now it's time for you to add −3x+y+3x=−13+3x Next you will substitute (3x-13) for y in the equation 4x+5y=1 4x+5y=1 4x+5(3x−13)=1 19x−65=1 <<<(for this part you start to simplify) 19x−65+65=1+65 19x=66 Then you get 19x/19= 66/19 x=66/19 Now it's time for you to substitute 66/19
y=3x−13 y=3(66/19)−13 Then for y you get y=−49/19 So the answer for number one is x=66/19 y=49/19.
2)x−y=−4 x−y=1 First things first add y to both sides x−y+y=−4+y Your result is: x=y−4 It's time to substitute x−y=1 y−4−y=1 −4=1 What you need to do now is add −4+4=1+4 and you get 0=5 For this problem you have no solutions.