If $7 x+11 y=1$ and $8 x+13 y=2$, then the value of $x$ and $y$ are:
Answer & explanation
Correct answer: option 3
7x + 11y = 1....... (1)
8x + 13y = 2 ....... (2)
Multiplying Equation (1) and Equation (2) by 8 and 7 resepectively, we have
56x + 88y = 8 and 56x + 91y = 14
Subtracting the second equation from the first, we get
-3y = -6,
y = 2
Now put the value of y in either 1 or 2
We are putting in 1
7x + 11y = 1
7x = -21
X = -3