Find at least three ordered pairs that satisfy the following equation and graph the line through them. 3x+5y=12

scherezade29pc

scherezade29pc

Answered question

2022-07-27

Find at least three ordered pairs that satisfy the following equation and graph the line through them.
3 x + 5 y = 12

Answer & Explanation

coolng90qo

coolng90qo

Beginner2022-07-28Added 14 answers

Step 1
(i) On substituting y = 0 in the above equation, we get 3 x = 12 so that x = 4. Thus, the ordered pair (4,0) satisfies the above equation.
Step 2
(ii) On substituting y = 3 in the above equation, we get 3 x + 15 = 12   or , 3 x = 12 15 = 3 so that x = 1. Thus, the ordered pair (-1,3) satisfies the above equation.
Step 2
(iii) On substituting y = 3 in the above equation, we get 3 x 15 = 12   or , 3 x = 12 + 15 = 27   so that   x = 9. Thus, the ordered pair (9,-3) satisfies the above equation.

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