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Two rovers are exploring a planet. The system of
equations below shows each rover's elevation, y, at time x. What
conclusion can you reach about the system of equations?
Rover A: y= 1.9x – 8
Rover B: 7y= 13.3x - 56


The slope for the Rover A equation is
slope for the Rover B equation.


The y-intercepts of the equations are


The system of equations has
solution(s).

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  • The system of equations has  infinite many solutions.
  • The y-intercepts of the equations are -8
  • The slope for the Rover A equation is 1.9 and slope for the Rover B equation is 1.9

Step-by-step explanation:

Given equations are:

Rover A: y= 1.9x – 8

Rover B: 7y= 13.3x - 56

simplifying the second equation

[tex]7y= 13.3x - 56[/tex]

Dividing both sides by 7

[tex]\frac{7y}{7}= \frac{13.3x - 56}{7}\\y = \frac{13.3x}{7} - \frac{56}{7}\\y = 1.9x-8[/tex]

As we can see that both equations are equivalent

Slope-intercept form is :

[tex]y = mx+b[/tex]

Comparing both equations with slope-intercept form we get

Slope of Rover A = 1.9

Slope of Rover B = 1.9

y-intercepts = -8

As both equations are equivalent, the system will have infinite many solutions.

Hence,

  • The slope for the Rover A equation is 1.9 and slope for the Rover B equation is 1.9
  • The y-intercepts of the equations are -8
  • The system of equations has  infinite many solutions.

Keywords: Equation of line, Slope

Learn more about equation of line at:

  • brainly.com/question/8054589
  • brainly.com/question/7932185

#LearnwithBrainly

Answer:

the slope for Rover A  equation is the same as the slope for the Rover B equation.

The y-intercepts ofe the equations are -8.

The system of equations has infinently many solution(s).

Step-by-step explanation:

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