Question

Solve the system of linear equations using substitution. X= 7y-6 x+7y=2

Answer 1

(-2, 4/7)

Explanation:

Ahh the wonderful world of substitution:

x = 7y - 6

x + 7y = 2

So, we need to find what x and y are. Since we know what x is equal to because of the first equation, we can plug that into the second equation:

7y - 6 + 7y = 2

Now let's solve this

14y - 6 = 2

+6 +6

14y = 8

/14 /14

y = 4/7

Now that we know what y is equal to, we can plug this into the equation. I'll choose the first one, since it is much easier:

x = 7(4/7) - 6

x = 4 - 6

x = -2

Therefore, x is equal to -2 and y is equal to 4/7, final answer.

Hope this helps :D