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Which region represents the solution to the system shown here? yg –3x + 5 and y 0.5x – 1 I II III IV

1 Answer

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Answer:

The region represents the solution to the given system is region iv.

Explanation:

Given : system of linear equation y = –3x + 5 and y = 0.5x – 1

We have to find the region that represents the solution to the system.

Consider the given system

y = –3x + 5 .....(1)

y = 0.5x – 1 ..........(2)

Multiply (2) by 10, we have,

10y = 5x - 10 ....(3)

Multiply equation (1) by 10, we have,

10y = –30x + 50 ..........(4)

Subtract (3) and (4) , we have,

10y - 10y = –30x + 50 - ( 5x - 10 )

Simplify, we have,

0 = –30x + 50 - 5x + 10

35x = 60

x = (approx)

Put x = in (3) , we get,

10y = 5 - 10

Thus, point of solution is (1.71, -0.143)

Since, (1.71, -0.143) lies in Fourth quadrant.

So the region represents the solution to the given system is region iv.

Which region represents the solution to the system shown here? yg –3x + 5 and y 0.5x-example-1
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