SOLUTION: 2x+2y=16 2x+6y=28

Question 189479: 2x+2y=16
2x+6y=28

Found 2 solutions by jojo14344, greta_elisif:
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

Given

In we get,
--->
, subst. in :

----> --->
, subst. in :

Then, these two lines intersect at point (5,3)

We'll see,
--->RED=EQN1; GREEN=EQN2

Thank you,
Jojo

Answer by greta_elisif(10) (Show Source): You can put this solution on YOUR website!
Solve 1 equation for 1 variable:
1. Subtract 2y from both sides to move it out of the way:

2. Divide both sides by 2 to move it out of the way:

3. Regroup fraction on the right side:

4. Cancel 2s and divide 16 by 2:

..
Solve to get one answer:
5. Replace the variable in the other equation with your answer:

Distribute the 2

6. Subtract 16 from both sides to move it out of the way:

7. Divide by 4 to get to y:

..
Put this answer in an equation to get the other answer:
8. Replace y with what it equals:

9. Subtract to get the second answer:

..
Check:
10. Use first equation:

11. Replace variables with what they equal:

12. Multiply:

13. Add:

..
Check more:
14. Use second equation:

15. Replace variables with what they equal:

16. Multiply:

17. Add:

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