Find at least three ordered pairs that satisfy the following equation and graph the line through them.

$3x+5y=12$

$3x+5y=12$

scherezade29pc
2022-07-27
Answered

Find at least three ordered pairs that satisfy the following equation and graph the line through them.

$3x+5y=12$

$3x+5y=12$

You can still ask an expert for help

coolng90qo

Answered 2022-07-28
Author has **14** answers

Step 1

(i) On substituting $y=0$ in the above equation, we get $3x=12$ 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 $3x+15=12\text{}\text{or},3x=12-15=-3$ 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 $3x-15=12\text{}\text{or},3x=12+15=27\text{}\text{so that}\text{}x=9$. Thus, the ordered pair (9,-3) satisfies the above equation.

(i) On substituting $y=0$ in the above equation, we get $3x=12$ 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 $3x+15=12\text{}\text{or},3x=12-15=-3$ 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 $3x-15=12\text{}\text{or},3x=12+15=27\text{}\text{so that}\text{}x=9$. Thus, the ordered pair (9,-3) satisfies the above equation.

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