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Gelneren [198K]
3 years ago
10

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

Mathematics
1 answer:
bezimeni [28]3 years ago
3 0

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
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