Answer: The correct answer is: [D]: " No solution " .
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Step-by-step explanation:
We are given the following system of equations:
2x − 3y = 10 ;
-4x + 6y = -20 ;
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Let us take the second equation:
-4x + 6y = -20 ;
and multiply each side by "-1 " ; to get rid of the "negative numbers" ; and to rewrite the equation without the "negative numbers" :
- 1 * { - 4x + 6y } = -1 * (-20} ;
to get:
4x − 6y = -20 ;
Now, let us simply this equation further; by divide each side of the equation by "2" ;
(4x − 6y) / 2 = (-20) / 2 ;
→ [ (4x) / 2 ] − [ (6y) / 2 ] = -10 ;
to get: 2x − 3y = -10 ;
Then we have: 2x − 3y = 10 ;
Note: 10 ≠ -10 .
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So the answer is: [D]: " No solution."
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Hope this explanation helps you! Best wishes!
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