Question

Two rovers are exploring a planet. The system of

Answer 1

• 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

$7y= 13.3x - 56$

Dividing both sides by 7

$\frac{7y}{7}= \frac{13.3x - 56}{7}\\y = \frac{13.3x}{7} - \frac{56}{7}\\y = 1.9x-8$

As we can see that both equations are equivalent

Slope-intercept form is :

$y = mx+b$

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

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