To solve the system of linear equations 3 x plus 5 y is equal to 2 and 6 x plus 10 y is equal to 8 by using the linear combination method, Laura correctly multiplied the first equation by negative 2 to get negative 6 x minus 10 y is equal to negative 4 and then correctly added the equations negative 6 x minus 10 y is equal to negative 4 and 6 x plus 10 y is equal to 8 to get 0 is equal to 4 How many solutions are there to the system of equations?
Adding the equations eliminates both variables and gives 0 = 4, which is false. This contradiction means there is no pair of values for x and y that satisfies both equations, so the system has 0 solutions.
AI-written and checked against the verified answer.