73.8k views
2 votes
How to solve for 6x+3y=21 3x-7y=2

1 Answer

6 votes
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!
User ABiologist
by
8.7k points