Tuesday

December 1, 2015
Posted by **Ren** on Saturday, October 16, 2010 at 12:01am.

Use a graph and table to solve each system. check your answer

{y+x=5

{3x-5y=-1

- Algebra 2 -
**Henry**, Saturday, October 16, 2010 at 3:02pmx + y = 5,

3x - 5y = -1,

I will use the elimination method which

eliminates 1 variable and allows me to solve for the other.

Step 1. Multiply both sides of the 1st Eq by -3 and add the 2 Eqs:

-3x - 3y = -15,

3x - 5y = -1,

0 - 8y = -16,

- 8y = - 16,

Step 2. Divide both sides by -8 and get:

y = 2.

Step 3. Substitute 2 for y in Eq 1

and solve for x:

x + 2 - 5,

x = 5 - 2,

x = 3.

Solution set:(x , y) = (3 , 2) = The

point where the 2 graphs will intersect.

To graph the Eqs, use the following

convenient points:

x + y = 5. (0 , 5) , (2 , 3) , (5 ,0).

3x - 5y = -1. (-2 , -1) , (3 , 2) ,

(5 , 3.2).

I hope this will help.

- Algebra 2 -
**Henry**, Saturday, October 16, 2010 at 3:10pmCORRECTION: The 1st Eq under Step 3

should read: x + 2 = 5.