Answer:
x = -9/7, y = 50/7.
Step-by-step explanation:
x + 2y = 13 ---------(eqn 1)
3x - y = -11 -----------(eqn 2)
Let's solve simultaneously using elimination method by multiplying eqn 2 by 2 so as to eliminate y.
3x - y = - 11 -------( × 2)
It gives
6x - 2y = - 22 ---------- ( new eqn 2)
x + 2y = 13 -----------( eqn 1)
Now add eqn 1 and new eqn 2
6x + x -2y + 2y = -22 + 13
7x = -9
Divide both sides by 7
7x/7 = -9/7
x = -9/7
Put x = -9/7 into eqn 1
x + 2y = 13
-9/7 + 2y = 13
Add 9/7 to both sides
-9/7+9/7 + 2y = 13+9/7
2y = 100/7
Divide both sides by 2
2y/2 = 100/7 ÷ 2
y = 100/7 × 1/2
y = (100÷2)/7
y = 50/7
Therefore
x = -9/7, y = 50/7
(-9/7, 50/7)
Therefore (-1,7) is not the solution for both equations , it is not a solution for NEITHER equation.
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