Question

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

Answer 1

Answer:  (2,-1).

Step-by-step 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).