Question

the system of equations x+2y= 11 and -2x-4y=22 has:
(a) only one solution
(b) finitely many solutions
(c) no solution
(d) infinitely many solutions​

Answer 1

Answer:

c) No solution.

Step-by-step explanation:

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Answer 2

Answer:

The system of equation has infinite solutions.

Step-by-step explanation:

It is given that we have two equations

$x+2y= 11$

and

$-2x-4y=22$

Here, $a_{1} =1, b_{1} =2, c_{1} =11$

and

$a_{2} =-2, b_{2} =-1, c_{2} =22$

Here, we can see that

$\frac{a_{1}}{a_{2}} =\frac{b_{1}}{b_{2}} =\frac{c_{1}}{c_{2}}$

$\frac{1}{2} =\frac{1}{2} =\frac{1}{2}$

Hence, there are infinite solutions.

Option (D) is correct.

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