Is (1,2) the solution to the following system of equations? Show your work that proves whether it is or is not the solution.

Is 12 the solution to the following system of equations Show your work that proves whether it is or is not the solution class=

Respuesta :

Answer:

no

Step-by-step explanation:

To determine if the given point is a solution.

Substitute the values x = 1, y = 2 into the left side of both equations and if equal to the right side then it is a solution.

Must be true for both equations

x - 3y = 1 - 3(2) = 1 - 6 = - 5 ≠ 7

4x + 2y = 4(1) + 2(2) = 4 + 4 = 8 ≠ 14

Thus (1, 2) is not a solution to the system of equations.

Answer: No (1,2) is not the solution but (4,-1) is the solution.

Step-by-step explanation:

solve by elimination

-4 (x - 3y)= 7(-4)   multiply this equation by  -4 to eliminate the x term

4x + 2y =4

New equation   -4x + 12y=-28

                           4x + 2y =-1 4  

                             14y= -14

                           divide both sides by 14

                   y= -1  

Plot the y solution into one of the equation to find x

   4x + 2(-1)=14

4x -2 = 14

      +2   +2

4x=16

x=4