Answer:
Explanation:
To solve the system of equations algebraically, we need to substitute the second equation into the first equation and solve for x:
y = 4x – 5 (equation 1)
y = -3 (equation 2)
Substitute equation 2 into equation 1:
-3 = 4x – 5
Add 5 to both sides:
2 = 4x
Divide both sides by 4:
x = 1/2
Now, we can substitute this value of x back into either equation to find y:
y = 4(1/2) – 5 = -3
Therefore, the solution to the system of equations is (1/2, -3).
To verify this solution using the graph, we can plot the two equations on the same set of axes:
y = 4x – 5 (red line)
y = -3 (blue line)
The two lines intersect at the point (1/2, -3), confirming our solution.
Therefore, the answer is (B) (1/2, -3).