Mathematics: Rewrite 6/25 in percent form

Rewrite 6/25 in percent form - id6256237919, bella2017

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30.08.2020

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

Step-by-step 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 = $\frac{12}{7}=1.71$ (approx)

Put x = $\frac{12}{7}$ in (3) , we get,

10y = 5 - 10

$10y = 5(\frac{12}{7})- 10\\\\\Rightarrow y=-0.143$

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.

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