Question

What is the solution of the system?

Use the substitution method.

{y+7=3x6x−2y=12

(14, 12)

(12, 14)

There is no solution.

There are an infinite number of solutions.

Answer 1

y + 7 = 3x.....y = 3x - 7

6x - 2y = 12
6x - 2(3x - 7) = 12
6x - 6x + 14 = 12
14 = 12 (incorrect)

when ur variables cancel out and u r left with an incorrect statement, this means there is no solution because ur lines are parallel

so ur answer is : no solution

Answer 2

Answer: There is no solution to the system of equations

Explanation:

y + 7y = 3x ------(1)

6x - 2y = 12 -----(2)

from equation(1)

y = 3x - 7y -------(3)

substitute equation (3) in equation (2)

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

6x - 6x +14 = 12

0+ 14 = 12

Therefore there is no solution