Answer:
The following system of equations y - 3x = - 3 2x - 4y = 26 is (A)(5, 12).
Explanation:
To solve the system of equations y−3x=−3y−3x=−3 and 2x−4y=262x−4y=26, you can use the substitution or elimination method. By substituting y=3x−3y=3x−3 into the second equation, you get 2x−4(3x−3)=262x−4(3x−3)=26. Simplifying this equation, you find x=5x=5. Substituting this value back into the first equation, you find y=12y=12. Therefore, the solution to the system is (5, 12), corresponding to option A.
Solving systems of linear equations is a fundamental concept in algebra, and it involves finding the values of variables that satisfy all equations simultaneously. The substitution and elimination methods are commonly used techniques to determine these values and find the solution.
Option A is correct.