Question

Does the following system of equations have a solution?

graph of lines y equals 2 x minus 5 and y equals negative 3 x plus 1

yes

no

Answer 1

y = 2x -5

y= -3x + 1

Here both the equations are in y = mx + b

where m is the slope and b is the y intercept

y =2x -5, the slope = 2 and b intercept = -5

y= -3x + 1, the slope = -3 and b intercept = +1

Both the equations have different slope. So there should be a single solution

Yes, the system of equations have a solution