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rodikova [14]
3 years ago
6

Algebra 1!!

Mathematics
2 answers:
harkovskaia [24]3 years ago
8 0

Answer: (6, 3)

Explanation: Our first equation tells us that x means the same thing as 2y so we can replace the x in the second equation with a 2y.

Our second equation then becomes 2(2y) + 3y = 21.

If we simplify on the left side we get

4y + 3y = 21 which simplifies to 7y = 21.

Solving from here, we find that <em>y = 3</em>.

To find x, plug 3 back in for y in the first equation

to get x = 2(3) which simplifies to <em>x = 6</em>.

So our answer is (6, 3).

emmasim [6.3K]3 years ago
5 0

Answer:

\huge\boxed{b.\ x=6;\ y=3}

Step-by-step explanation:

\left\{\begin{array}{ccc}x=2y&(1)\\2x+3y=21&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\2(2y)+3y=21\\4y+3y=21\qquad\text{combine like terms}\\7y=21\qquad\text{divide both sides by 7}\\\dfrac{7y}{7}=\dfrac{21}{7}\\\boxed{y=3}\\\\\text{Substitute it to (1):}\\x=2(3)\\\boxed{x=6}

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meriva
Distance between the two stations from where the two trains leave = 182 miles
Speed of one train (S1) = 55 miles/hour
Speed of the other train = 75 miles/hour
Now
Time taken by the two trains to meet = Distance/(S1 + S2)
                                                           = 182/(55 + 75)
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From the above deduction, it can be concluded that the two trains will meet each other after 1.4 hours. I hope that the procedure is simple enough for you to understand.
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