What is the solution of the system?

use the substitution method.

{y+7=3x
6x−2y=12

(14, 12)
(12, 14)
there is no solution.
there are an infinite number of solutions.

Work Shown:

y+7 = 3x turns into y = 3x-7 after we subtract 7 from both sides

Plug that into the other equation and solve for x

6x - 2y = 12

6x - 2( y ) = 12

6x - 2( 3x-7 ) = 12 ... y replaced with 3x-7

6x - 2(3x) - 2(-7) = 12

6x - 6x + 14 = 12

0x + 14 = 12

0 + 14 = 12

14 = 12 ... this is a contradiction, aka false statement

No matter what x value we pick, the equation above will always be false.

Therefore, there are no solutions

We say that this system of equations is inconsistent.

Graphing both equations leads to two parallel lines. A solution only happens if the lines cross, but parallel lines never intersect.

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step-by-step explanation:

it is 570

step-by-step explanation: