SOLUTION: the solution set of x+y=2 and 3x=-2y-6

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Question 146852: the solution set of x+y=2 and 3x=-2y-6
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1. y%2Bx=2
2. 3x=-2y-6
Let's use eq. 1 to solve for y in terms of x.
1. x%2By=2
y=2-x
Now substitute this term into eq. 2 and solve for x.
2. 3x=-2y-6
3x=-2%282-x%29-6
3x=-4%2B2x-6
x=-10
From 1,
y=2-x
y=2-%28-10%29
y=12
Check your answers.
1.x%2By=2
-10%2B12=2
2=2
2.3x=-2y-6
3%28-10%29=-2%2812%29-6
-30=-30
The answers lead to true statements.
They are good answers.