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ArbitrLikvidat [17]
3 years ago
7

What would the answer be???

Mathematics
1 answer:
Korolek [52]3 years ago
4 0

Answer:

The solution is obtained by adding the two equations.

The solution is: (x, y) = ($ - \frac{2}{3} $, $ - \frac{7}{3} $)

Step-by-step explanation:

We are given two equations with two variables. The strategy is to eliminate one variable and solve for both the variables.

The two equations are:

$ 7x + y = - 7 \hspace{15mm} \hdots (1) $

$ 2x - y = 1 \hspace{15mm} \hdots (2) $

Adding both the equations, we get:

$ 7x + 2x + y - y = - 7 + 1 $

$ \implies 9x = - 6 $

$ \implies x = - \frac{2}{3} $

Substituting the value of 'x', we get the value of y.

We substitute in (2). [Can be substituted in any equation].

We get: y = 2x - 1

$ \imples y = 2\bigg(\frac{-2}{3}\bigg) - 1 $

$ \implies -\frac{4}{3} - 1 $

$ \implies y = -\frac{7}{3} $

So, we get the corresponding values of x and y which is the solution of the two equations.

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