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earnstyle [38]
4 years ago
8

Choose the correct first step(s) to solve the system using elimination. 4x + 7y = 6 and 6x + y = 2

Mathematics
1 answer:
exis [7]4 years ago
7 0
\left\{\begin{array}{ccc}4x+7y=6\\6x+y=2&|multiply\ both\ sides\ by\ (-7)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}4x+7y=6\\-42x-7y=-14\end{array}\right}\\.\ \ \ -38x=-8
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3 years ago
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Calcular la edades actuales de una madre y sus dos hijos sabiendo que hace 14 años la dad de la madre era 5
rodikova [14]

The present age of mother and her daughter respectively are; 40 and 10 years respectively.

<h3>How to Solve Algebra Word Problems?</h3>

Let x and y be the present age of mother and her daughter respectively.

Therefore;

x + y = 50

x = 50 − y     .....(1)

After 20 years, mother's age will be twice her daughter's age at the time. Thus;

x + 20 = 2(y + 20)

x − 2y = 20     .....(2)

Plugging eq 1 into eq 2 gives us;

50 − y − 2y = 20

3y = 30

y = 10

Thus;

x = 50 − 10

x = 40

Thus, the present age of mother and her daughter is 40 and 10 years respectively.

Translation of the question into English is;

The sum of the present ages of mother and her daughter is 50 years. After 20 years, mother's age will be twice her daughter's age at the time. Find their present ages.

Read more about Algebra Word Problems at; brainly.com/question/21405634

#SPJ1

6 0
2 years ago
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