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

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