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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

User Junichiro
by
8.1k points

2 Answers

5 votes

Answer:

x = 8, y = 5

Explanation:

It worked on khan

User Nck
by
7.9k points
5 votes

Answer:

(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).

User Indirect
by
8.3k points

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