Final answer:
To solve the system of equations, the elimination method is used, resulting in the solution (1.5, 10), corresponding to choice b.
Step-by-step explanation:
The student's question concerns solving a system of linear equations. The system given is: 1) 2x - y = -7 2) 4x - y = -4.
To find the solution, we can use the substitution or elimination method. In this case, the elimination method is straightforward since the coefficients of y are the same in both equations.
Subtract equation 1) from equation 2) to eliminate y: (4x - y) - (2x - y) = (-4) - (-7) 2x = 3 x = 1.5
Now, substitute x = 1.5 into equation 1) to find y: 2(1.5) - y = -7 3 - y = -7 -y = -7 - 3 -y = -10 y = 10
The solution to the system is (1.5, 10), which corresponds to choice b.