strickla574
strickla574 strickla574
  • 10-11-2021
  • Mathematics
contestada

3x+4y=14
5x+4y=20

solve the systems of equations

Respuesta :

Paounn
Paounn Paounn
  • 10-11-2021

Answer:

[tex]x=3[/tex];[tex]y=\frac54[/tex]

Step-by-step explanation:

You have 4y on both. So unless you're asked to use a specific method, just subtract one from the other.

[tex]II - I: 5x+4y-3x-4y = 20-14\\2x = 6 \rightarrow x=3[/tex]

Now you have two options: you eliminate x by multiplying the first by 5, the second by 3, and subtracting again, or you plug the value you found in one of the two. Let's do that, using the second

[tex]5(3)+4y=20 \rightarrow 15+4y = 20\\4y = 5\rightarrow y=\frac 54[/tex]

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