We can solve this system of equations using the method of substitution or elimination.
Using substitution:
From the second equation, we can express y in terms of x as y = 4x + 2.
Plugging this into the first equation, we get: 8x - 2(4x + 2) = -4
Simplifying, we have: 8x - 8x - 4 = -4
This equation reduces to: -4 = -4
Since this equation is true, we can conclude that the system of equations has infinitely many solutions.
Using elimination:
We can multiply the second equation by 2 to simplify the process. The system of equations becomes:
8x - 2y = -4
8x - 2y = -4
Since the two equations are identical, we can clearly see that the system has infinitely many solutions.
Therefore, the system of equations has infinitely many solutions.
does the system of equations have one solution, infinite solutions, or no solution?
8x−2y=−4
4x−y=−2
1 answer
1 answer