Question

Solve the system of equations.

\begin{aligned} & -5x+8y = 0 \\\\ & -7x-8y = -96 \end{aligned}
​

−5x+8y=0
−7x−8y=−96
​

x=x=x, equals
y=y=y, equals

Answer 1

x = 8, y = 5

Explanation:

It worked on khan

Answer 2

(x, y) = (8, 5)

Explanation:

The equations are:

`$ -5x + 8y = 0 \hspace{20mm} \hdots (1) $`

`$ - 7x - 8y = - 96 \hspace{20mm} \hdots (2) $`

Adding (1) and (2), we get:

`$ - 5x - 7x + 8y - 8y = - 96 $`

`$ \implies - 12x = - 96 $`

⇒ x = 8

Substituting x = 8, in Equation (1), we get:

8y = 5x

`$ \implies 8y = 5(8) = 40 $`

⇒ y = 5

Therefore, the root of the equation: (x, y) = (8, 5).