jaymaddness101
jaymaddness101 jaymaddness101
  • 17-11-2021
  • Mathematics
contestada

Solve the following equation using the subsitution method

3x-5y= 19
2x - y=4
​

Respuesta :

Paounn
Paounn Paounn
  • 17-11-2021

Answer:

[tex]\frac17; -\frac{26}7[/tex]

Step-by-step explanation:

Let's solve the second for y (it has a coefficient of -1, so it's the easiest to work with)

[tex]y= 2x-4[/tex]

And then replace it in the first.

[tex]3x-5(2x-4)= 19\\3x-10x+20 = 19 \rightarrow -7x=-1 \rightarrow x=\frac17[/tex]

now let's use this value of x to find y

[tex]y= 2(\frac17)-4 = \frac27 -\frac{28}7 = -\frac{26}7[/tex]

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