Question

What would the answer be???

Answer 1

The solution is obtained by adding the two equations.

The solution is: (x, y) = (
`$ - (2)/(3) $`,
`$ - (7)/(3) $`)

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 = - (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((-2)/(3)\bigg) - 1 $`

`$ \implies -(4)/(3) - 1 $`

`$ \implies y = -(7)/(3) $`

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