Question

How would i graph
y=− 5/2x-3
and
x−y=−4
(_,_)

Answer 1

Given:

The system of equations is

`y=-(5)/(2)x-3`

`x-y=-4`

To find:

The graph of the given system of equations and its solution.

Solution:

The table of values for
`y=-(5)/(2)x-3` is

x y

-4 7

-2 2

0 -3

Plot these points and connect them by a straight line.

The table of values for
`x-y=-4` is

x y

-4 0

-2 2

0 4

Plot these points and connect them by a straight line.

From the below graph it is clear that the lines intersect each other at point (-2,2).

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