projeccshay projeccshay
  • 17-06-2019
  • Mathematics
contestada

How many solutions does this linear system have y= 1/2x+4
x+2y=-8

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 17-06-2019

Answer:

1 solution

Step-by-step explanation:

y = 1/2x + 4  

x + 2y = -8

Solve the second equation for y.

2y = -x - 8

y = -1/2x - 4

The two equations in slope-intercept form are:

y = 1/2x + 4

y = -1/2x - 4

The system consists of two lines with different slopes, so they intercept at a single point which is the solution.

Answer: 1 solution

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