Use the Rectangular Coordinate System: example 4.9

Find three solutions to the equation $3 x + 2 y = 6$ .

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Find three solutions to the equation $2 x + 3 y = 6$ .

How did it go?



Substitute the value into the equation.
Simplify.
Solve.

Write the ordered pair.			(0, 3)	(2, 0)	$(1, \frac{3}{2})$
Check.
$3 x + 2 y = 6$	$3 x + 2 y = 6$	$3 x + 2 y = 6$
$3 \cdot 0 + 2 \cdot 3 ≟ 6$	$3 \cdot 2 + 2 \cdot 0 ≟ 6$	$3 \cdot 1 + 2 \cdot \frac{3}{2} ≟ 6$
$0 + 6 ≟ 6$	$6 + 0 ≟ 6$	$3 + 3 ≟ 6$
$6 = 6 ✓$	$6 = 6 ✓$	$6 = 6 ✓$



Substitute the value into the equation.
Simplify.
Solve.

Write the ordered pair.			(0, 3)	(2, 0)	$(1, \frac{3}{2})$
Check.
$3 x + 2 y = 6$	$3 x + 2 y = 6$	$3 x + 2 y = 6$
$3 \cdot 0 + 2 \cdot 3 ≟ 6$	$3 \cdot 2 + 2 \cdot 0 ≟ 6$	$3 \cdot 1 + 2 \cdot \frac{3}{2} ≟ 6$
$0 + 6 ≟ 6$	$6 + 0 ≟ 6$	$3 + 3 ≟ 6$
$6 = 6 ✓$	$6 = 6 ✓$	$6 = 6 ✓$