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
[tex]y=-3x\hfill (1)[/tex]
[tex]-9x-4y=21\hfill (2)[/tex]
Now to the solution:
To solve the given system of equations using substitution method.
That is substitute equation(1) in equation (2) we get
[tex]-9x-4(-3x)=21[/tex] (here y=-3x)
[tex]-9x+12x=21[/tex]
[tex]3x=21[/tex] (adding the like terms)
[tex]x=\frac{21}{3}[/tex]
Therefore x=7
Now substitute x=7 in equation (1) we get
[tex]y=-3x[/tex]
[tex]y=-3(7)[/tex]
[tex]y=-21[/tex]
Therefore the solution is (7,-21)
Therefore Option- one is correct.
The given system of equations have one solution that is (7,-21)
Answer:
One solution
Step-by-step explanation:
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