Question
Identify the two systems of equations that are equivalent. A.- 3X +2Y=12 X – 3Y=6 B.- 5X/2 – 2Y =2 X-Y=6 C.- 5X – 4Y = 4 4X – 4Y = 24 D.- 9X + 6Y =36 2X – 2Y =12
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Answer to a math question Identify the two systems of equations that are equivalent. A.- 3X +2Y=12 X – 3Y=6 B.- 5X/2 – 2Y =2 X-Y=6 C.- 5X – 4Y = 4 4X – 4Y = 24 D.- 9X + 6Y =36 2X – 2Y =12
Maude
4.7107 Answers
1. Simplify equations in systems A and D to see if they are equivalent transformations of one another.
2. For system A:
3X + 2Y = 12
X - 3Y = 6
3. For system D, divide the first equation by 3 and the second equation by 2:
\frac{9X + 6Y}{3} = \frac{36}{3} \implies 3X + 2Y = 12
\frac{2X - 2Y}{2} = \frac{12}{2} \implies X - Y = 6
4. Subtract the equation in system D:
(X - Y) \neq (X - 3Y),
but necessary
2X - 2Y = 12
[Solution]
A \text{ and } D
2. For system A:
3. For system D, divide the first equation by 3 and the second equation by 2:
4. Subtract the equation in system D:
but necessary
[Solution]
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