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Hello can anyone solve this for me so I don't fail my math assignment? please and thank you :) It's about linear equations in Two Variables by the way

1. (-1, 4); x + y = 3
2. (0, 2); 2x - y = 2
3. (20, 30); 1/10 x + 1/5 y - 8
4. (0.3, -0.1); 200x - 100y = 10
5. (2/5, 1/4); 10x - 20y = -1

1 Answer

4 votes

The true statements about the ordered pairs and the equations are

(-1, 4) x + y = 3 Yes

(0, 2) 2x - y = 2 No

(20, 30) 1/10 x + 1/5 y - 8 Yes

(0.3, -0.1) 200x - 100y = 10 No

(2/5, 1/4) 10x - 20y = -1 Yes

How to determine if the ordered pair is a solution to the accompanying equation

From the question, we have the following parameters that can be used in our computation:

The equations and the ordered pair

Testing for the solutions, we have

1. (-1, 4); x + y = 3

-1 + 4 = 3

3 = 3 --- true

2. (0, 2); 2x - y = 2

2(0) - 2 = 2

-2 = 2 --- false

3. (20, 30); 1/10 x + 1/5 y = 8

1/10 * 20 + 1/5 * 30 = 8

8 = 8 --- true

4. (0.3, -0.1); 200x - 100y = 10

200 * 0.3 - 100 * -0.1 = 10

70 = 10 --- false

5. (2/5, 1/4); 10x - 20y = -1

10 * 2/5 - 20 * 1/4 = -1

-1 = -1 ----- true

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