Question

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

Answer 1

Answer:

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 guaranteed
• so say we choose a slopeA = 2 and slopeB = -1/2, the slopes are perpendicular only if when you multiply them you get -1
• then we use the slope intercept form of an equation y = mx + b
• we 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 are
• y = -2x + 3
• y = -1/2x + 5
• Then 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 equation
• y = -2(-4/3) + 3
• y = 17/3
• So the equations work