Final answer:
The solution to the system of equations y = -5x + 3 and y = 1 is found by substitution, resulting in the point (x, y) = (0.4, 1).
Step-by-step explanation:
The solution to the system of equations y = -5x + 3 and y = 1 is found by setting the two equations equal to each other since they both equal y. When you set -5x + 3 equal to 1, you can solve for x:
-5x + 3 = 1
-5x = 1 - 3
-5x = -2
x = -2 / -5
x = 0.4
Plugging x = 0.4 into one of the original equations to find y:
y = 1
Therefore, the solution to the system of equations is (x, y) = (0.4, 1).