SOLUTION: x+y=2 2x+7y=9

Question 176283This question is from textbook McDougal Littell MATH
: x+y=2
2x+7y=9 This question is from textbook McDougal Littell MATH

Found 3 solutions by EMStelley, jojo14344, MathTherapy:
Answer by EMStelley(208)   (Show Source): You can put this solution on YOUR website!
Let's solve this one with the addition method. I will multiply the first equation by -2 to obtain the following system:

Now, adding the two together, we get:

So y=1. To find x, we just plug in y=1 to either equation.

So x=1. Thus the solution is (1,1).
Answer by jojo14344(1513)   (Show Source): You can put this solution on YOUR website!

Line Equations:
, EQN 1
, EQN 2
In EQN 1, we get:
, EQN 3 ------> subst. in EQN 2:

, combine similar terms

------>
, subst. in EQN 3:

We'll see the graph:
----> Point of Intersection (1,1), RED>>EQN1; GREEN>>EQN2
Thank you,
Jojo

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
-2(x + y = 2)
2x + 7y = 9
- 2x - 2y = - 4
5y = 5
y = 1
x + 1 = 2
x = 1
Solution: (1, 1)
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