Question

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

Answer 1

Given:

The system of equations is

$y=-\dfrac{5}{2}x-3$

$x-y=-4$

To find:

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

Solution:

The table of values for $y=-\dfrac{5}{2}x-3$ 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).