Question

-y = 4x + 1

-2y - 6x = 6

Which method would best solve this system of equations?

A. Substitution method; solution: (2, 9)
B. Elimination using multiplication; solution: (0, 2)
C. Substitution method; solution: (2, -9)
D. Elimination using multiplication; solution: (-9, 2)

Answer 1

The best method to solve this system of equations is the elimination using multiplication method. The solution to the system of equations is (0, 2).

Step-by-step explanation:

The best method to solve this system of equations is the elimination using multiplication method.

First, let's multiply the first equation by 2 to make the coefficients on the y terms equal: -2y = 8x + 2.

Next, subtract the second equation from the first equation to eliminate the y terms: (-2y - 6x) - (y + 7) = 8x + 2 - 3x. Simplifying this expression gives us -3x - 3y - 6 = 5x + 2.

Then, group like terms and solve for x: -8x - 3y - 6 = 2. Moving the constants to the other side of the equation gives us -8x - 3y = 8.

Finally, solve for y using one of the original equations: -2y = 4x + 1. Solving for y gives us y = -2x - 1/2.

The solution to the system of equations is (0, 2), so the correct answer is B. Elimination using multiplication; solution: (0, 2).