Question

Solve the system of equations by graphing.

y= -3x + 18
3x - 2y = 0


Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

A.
The solution set is ​{ }.
​(Type an ordered​ pair.)

B.
There are infinitely many solutions. The solution set is ​(x,y).
​(Type an​ equation.)

C.
There is no solution. The solution set is empty set.

Graph the solution.

Answer 1

A. (4,6) is solution set of given system.

Explanation:

We have given a system of equations.

y = -3x+18

3x-2y = 0

We have to solve it by graphing to find the value of x and y.

Firstly draw the line for equations.

Then , point out the intersection point of given two equation which is the solution of system.

Intersection point is (4,6).

Hence, the solution set is (4,6).

Answer 2

ANSWER

The solution set is (4,6)


EXPLANATION


The first equation is


`y = - 3x + 18`

The intercepts are:

(0,18) and (6,0).


We plot the intercepts and draw a straight line through them.


The second equation is,


`3x - 2y = 0`
This equation also passes through,

(0,0) and (1,1.5).

We plot this point too and draw a straight line through them.


The two straight lines intersect at (4,6).

See graph.

Hence the solution set is (4,6).