Question

7 Which of the following is not a solution of the pair of equations 3x-2y=4 and 9x -6y=12? (1 Point) O x = 2, y = 1 O x = 4, y = 4 O x = 6, y = 7 O x = 5, y = 3​

Answer 1

Answer: $x=5\,\text{and}\, y=3$  is not a solution of the pair of equations $3x-2y=\,4\, \, \text{and} \,\,9x-6y=\,12$.

Step-by-step explanation:

The given pair of equations is of parallel lines, since when we multiply the equation $3x-2y=\,4$  by $3$, we get $9x-6y=\,12$. ( In fact both lines are same).

The given graph of line $3x-2y=\,4$ clearly shows that points  $C\,(0,-2)\,,B\,(4,4)\,,\text{and} \,D\,(6,7)$ lie on the line, so they satisfy the equation of the line.

Or, we can also check this by substituting the values of $x$ and $y$ on the given equation and see that $3 \times 5 - 2 \times 3 = \, 9 \neq 4.$