Question

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Answer 1

Answer:

1. x - 5y = -5; x -5y = 35
2. there are no solutions, the lines are parallel so do not intersect

Step-by-step explanation:

1.

We judge the x-intercept to be about 5 times as far from the origin as the y-intercept is. If we take the y-intercept of the blue line to be +1, then the equation of that line can be x -5y = -5. The y-intercept of the black line appears to be about 7 times as far from the origin as for the blue line, so the constant will be multiplied by -7: x -5y = 35.

The two equations in the system of equations could be ...

• x -5y = -5
• x -5y = 35

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2.

We have assumed the two lines are parallel, so they will not intersect. A point of intersection would be a solution to the system. The system of equations will have no solutions.