Question 998109: Solve by using Cramer's Rule, if possible. (If it is not possible to use Cramer's Rule, enter IMPOSSIBLE.)
5x + 6y= -8
15x – 2y= -6
Answer by Algebra-Help-101(1)   (Show Source):
You can put this solution on YOUR website! To solve this question, you must use systems of equations in order to find one variable's value first.
If your two equations are:
5x + 6y= -8
15x - 2y=-6
The first thing you want to do is make one of the variables equal to the other above, just the opposite value, in order to cancel the two values out of the equation.
The first thing I would do is multiply "5x + 6y= -8" by -3 to get -15x
-15x - 18y= 24
15x - 2y= -6
From here, I add the 2 equations together (combine them)
-20y = 18
Now divide by 20
y= -9/10 (-.9)
Now that you have the value of y, plug it back into your original equation to find the value of x.
5x + 6y= -8
5x + (6 * -.9)= -8
5x + 5.4 = -8
Subtract 5.4 from both sides
5x = -13.4
Divide by 5
x = -2.68
When you plug these values into the equations, you will find that they do not work, therefore, you would write IMPOSSIBLE on your answer sheet.
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