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7. Leveled Practice 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
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).

Answer :

absor201
  • 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

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