Question

Which system of equations can be graphed to find the solution(s) to?

a. y = 2x + 1 and y = -x + 4
b. y = x + 2 and y = 2x - 3
c. y = 3x + 5 and y = -4x + 7
d. y = -2x - 1 and y = 2x - 4

Answer 1

Option c. y = 3x + 5 and y = -4x + 7

Step-by-step explanation:

The system of equations that can be graphed to find the solution(s) is option c. y = 3x + 5 and y = -4x + 7. To graph these equations, plot the points that satisfy both equations and draw a line connecting them. The point where the lines intersect is the solution(s) to the system. For example, for the equations y = 3x + 5 and y = -4x + 7, you can choose two x-values, calculate the corresponding y-values using the equations, and plot the points on a graph. The intersection of the two lines will give you the solution(s) to the system.