Question

Solve the system of equations graphically.3x + 2y = 4−x + 3y = −5

Answer 1

Answer: (2,-1).

Explanation:

The given system of equations is

`3x+2y=4`

`-x+3y=-5`

For
`3x+2y=4`, table of values is

x : 0 1 2

y : 2 0.5 -1

For
`-x+3y=-5`, table of values is

x : -1 2 5

y : -2 -1 0

Plot these points on a coordinate plane and connect them be straight lines as shown below.

Form the graph it is clear that the lines intersect each other at (2,-1).

Therefore, the solution of given system of equations is (2,-1).