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Solve the system of equations by graphing y= -x ×7 and y= 3x-1 how do I plot it on the graph

User Xiaoxia Lin
by
2.8k points

1 Answer

19 votes
19 votes

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)

Solve the system of equations by graphing y= -x ×7 and y= 3x-1 how do I plot it on-example-1
User Tjysdsg
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3.0k points