Estimate the solution to the system of these linear equations based on the graph.
y = 5x + 10
y = -2x +3
3 answers
Based on the graph of these two equations, it appears that the lines intersect at a point where y is approximately 8 and x is approximately -1. Therefore, the estimated solution to the system of equations is x = -1 and y = 8.
wrong
I apologize for the error. Let's solve the system of equations to find the exact solution:
y = 5x + 10
y = -2x + 3
Setting the two equations equal to each other:
5x + 10 = -2x + 3
7x = -7
x = -1
Now, substitute x = -1 back into one of the equations to solve for y:
y = 5(-1) + 10
y = -5 + 10
y = 5
Therefore, the exact solution to the system of equations is x = -1 and y = 5.
y = 5x + 10
y = -2x + 3
Setting the two equations equal to each other:
5x + 10 = -2x + 3
7x = -7
x = -1
Now, substitute x = -1 back into one of the equations to solve for y:
y = 5(-1) + 10
y = -5 + 10
y = 5
Therefore, the exact solution to the system of equations is x = -1 and y = 5.
1 answer