$\left\{\begin{array}{ccc}3x+y=6&|-3x\\2x-4y=10\end{array}\right\\\\\left\{\begin{array}{ccc}y=6-3x\\2x-4y=10\end{array}\right\\\\substitute\ y=6-3x\ to\ the\ second\ equation\\\\2x-4(6-3x)=10\\\\2x-4\cdot6-4\cdot(-3x)=10\\\\2x-24+12x=10\\\\14x-24=10\ \ \ |+24\\\\14x=34\ \ \ \ |:14\\\\x=\dfrac{34}{14}\to x=\dfrac{17}{7}\\\\substitute\ the\ value\ of\ x\ to\ first\ equation\\\\y=6-3\cdot\dfrac{17}{7}=6-\dfrac{51}{7}=\dfrac{42}{7}-\dfrac{51}{7}=-\dfrac{9}{7}$

$\boxed{\left\{\begin{array}{ccc}x=\dfrac{17}{7}\\\\y=-\dfrac{9}{7}\end{array}\right}$

5 0

3 years ago

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Which of the following is the Pythagorean theorem

noname [10]

Answer:

$a^2+b^2=c^2$

Step-by-step explanation:

The Pythagorean Theorem is used to find a missing side length in a right triangle, and the formula $a^2+b^2=c^2$ is used to find the missing side, assuming a and b are legs, while c is the hypotenuse.

4 0

3 years ago

Which transformation shows a reflection across the y-axis? A) A B) B C) C D) D

Masteriza [31]

Answer:

The answer is A

Step-by-step explanation:

7 0

3 years ago

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