y=3x-1
and
y=-x+7
we know that
The solution of the system of equations by graphing is the intersection point both graphs
To graph a line we need at least two points
so
Find the intercepts
step 1
we have
y=3x-1
Find the y-intercept (valueo of y when the value of x is zero)
For x=0
y=3(0)-1
y=-1
the y-intercept is (0,-1)
Find the x-intercept (value of x when the value of y is zero)
so
For y=0
0=3x-1
3x=1
x=1/3=0.33
the x-intercept is (0.33,0)
step 2
we have
y=-x+7
Find the y-intercept
y=-(0)+7
y=7
(0,7)
Find the x-intercept
0=-x+7
x=7
(7,0)
step 3
Graph the lines
Plot the intercepts, join them and draw the lines
using agraphing tool
see the attached figure
please wait a minute ( i will draw the lines)
the solution is the point (2,5)