Question

Select all of the ordered pairs (x,y) that are solutions to the linear equation 2x+3y=6.

Answer 1

Answer:

A) $(x,2-\frac{2}{3}x)$

B) $( 3-\frac{3}{2}y .y)$

Step-by-step explanation:

As can be seen in the graph, the set of solution numbers is the real numbers R for both x and y, but since it is requested that they be ordered pairs, we find the conditions for which it must be met

Also: we can work according to x

$2x+3y=6\\3y=6-2x\\y=2-\frac{2}{3}x$

ordered pair

$(x,2-\frac{2}{3}x)$

according to y

$2x+3y=6\\2x=6-3y\\x=3-\frac{3}{2}y$

oedered pair

$( 3-\frac{3}{2}y .y)$