Create a system of linear equations that has one solution. Solve the system using substitution to prove your that your system has only one solution.

y = -2x + 3

y = -1/2x + 5

Step-by-step explanation:

So the best way to solve is to come up with two slopes, I'd prefer 2 perpendicular slopes because perpendicular lines only cross once hence one solution guaranteedso say we choose a slopeA = 2 and slopeB = -1/2, the slopes are perpendicular only if when you multiply them you get -1then we use the slope intercept form of an equation y = mx + bwe make up two equations y = -2x + b and y = -1/2x + b , now we can just make up number for b so the two equations arey = -2x + 3y = -1/2x + 5Then we solve them by substituting for y so-1/2x + 5 = -2x + 3 and x = -4/3 and then we put this to get y in either equationy = -2(-4/3) + 3y = 17/3So the equations work