Question

How many solutions does this system have?

Answer 1

Answer:

Option- one is correct.

The given system of equations have one solution that is (7,-21)

Step-by-step explanation:

Given system of equations are

$y=-3x\hfill (1)$

$-9x-4y=21\hfill (2)$

Now to the solution:

To solve the given system of equations using substitution method.

That is substitute equation(1) in equation (2) we get

$-9x-4(-3x)=21$ (here y=-3x)

$-9x+12x=21$

$3x=21$ (adding the like terms)

$x=\frac{21}{3}$

Therefore x=7

Now substitute x=7 in equation (1) we get

$y=-3x$

$y=-3(7)$

$y=-21$

Therefore the solution is (7,-21)

Therefore Option- one is correct.

The given system of equations have one solution that is (7,-21)

Answer 2

Answer:

One solution

Step-by-step explanation:

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