192k views
2 votes
Solve the system graphically and check the solution. 3x+y=9. X=y+3

1 Answer

7 votes

(3,0)

1) Let's make two t-tables, one for each equation so that we can find the points of each line.

2)

3x+y=9

x|y =9 -3x

-1| y= 9 -3(-1) =12

0| y = 9-3(0) = 9

1| y= 9 -3(1) =6

So we've got the points: (-1,12), (0,9) and (1,6)

Now, let's pick the second equation and rewrite it in the Slope-intercept form:

x=y+3 ⇔-y=3-x ⇔ y=x-3

x|y

-1| y=-1-3=-4

0| y= 0-3 = -3

1| y= 1-3 =-2

So, we've got the points (-1,-4), (0,-3) and (1,-2)

2.2) Let's plot those points and check:

Note that both lines intercept each other at point (3,0) and that is the solution.

Solve the system graphically and check the solution. 3x+y=9. X=y+3-example-1
User Silia
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories