Question

"Solve Each System by graphing:
1. y=1/4x+2
y=5/4x-2"

Answer 1

The solution to the system of equations is (4, 3).The solution (4, 3) means that x equals 4 and y equals 3 simultaneously in both equations, satisfying the conditions of the system. It's the point where both lines cross each other on the graph, showcasing the point where these two equations intersect and share the same values for x and y.

Explanation:

By graphing the given equations
`\(y = (1)/(4)x + 2\)`and
`\(y = (5)/(4)x - 2\),`the point of intersection is (4, 3), indicating that this is the solution to the system of equations. This intersection point signifies the values of x and y that satisfy both equations simultaneously. When plotted on a graph, the lines representing the two equations intersect at the coordinates (4, 3), confirming the point where both equations hold true.

The solution (4, 3) means that x equals 4 and y equals 3 simultaneously in both equations, satisfying the conditions of the system. It's the point where both lines cross each other on the graph, showcasing the point where these two equations intersect and share the same values for x and y.