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5 votes
Which statement describes the graph of the system of equations below?

1.5x + 0.2y = 2.68

1.6x + 0.3y = 2.98


The lines are parallel.

The lines overlap at all points.

The lines intersect at (1.6,1.4).

The lines intersect at (3.1,0.5).

2 Answers

4 votes

Answer

2

taskmasters

In order to see the behavior of the line formed from the equations, we write the given equation in general form which is y=mx+b

1.5x + 0.2y = 2.68 --> y= -7.5x + 13.4

1.6x + 0.3y = 2.98 --> y= -5.33x + 9.93

They definitely are not parallel lines and do not overlap at all p

User Lumpidu
by
8.1k points
6 votes
In order to see the behavior of the line formed from the equations, we write the given equation in general form which is y=mx+b

1.5x + 0.2y = 2.68 --> y= -7.5x + 13.4

1.6x + 0.3y = 2.98 --> y= -5.33x + 9.93

They definitely are not parallel lines and do not overlap at all points. Plotting the equations in a graph, an intersection is observed. This intersection most likely is the third option. The lines at (1.6, 1.4).
User Ade Miller
by
7.8k points

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