baezaalondra370 baezaalondra370
  • 17-04-2018
  • Mathematics
contestada

how to solve for 6x+3y=21 3x-7y=2

Respuesta :

nilbert
nilbert nilbert
  • 17-04-2018
Hi there!

We can solve this equation by using the systems of equations. 

We can do this by subtracting like terms from both equations using substitution. 

First, let's find the value of y:

6x + 3y = 21
3y = -6x + 21
y = -2x + 7

Then, we should plug it into one of the equations:

3x - 7y = 2
3x - 7(-2x + 7) = 2
3x + 14x - 49 = 2
17x = 51
x = 3

Now, we solve for y by plugging the value of x into the equation:

3x - 7y = 2
3(3) - 7y = 2
9 - 7y = 2
-7y = -7
7y = 7
y = 1

There's your answers.

Hope this helps!
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