Question

Solve the system of equations. ​

Answer 1

x = 6

y = -7

Explanation:

The two equations are:

`$ 10x - 3y = 81 \hspace{20mm} \hdots (1) $`

`$ -5x - 7y = 19 \hspace{20mm} \hdots (2) $`

Multiplying equation (2) by 2, we get:

`$ -10x - 14y = 38 $`

Adding this equation and Equation (1), we get:

`$ - 17 y = 119 $`

⇒ y = - 7

Substituting the value of y = -7 in Equation (1), we get:

10x = 81 + 3(-7)

⇒ 10x = 81 - 21 = 60

⇒ x = 6

Therefore, the solution to the equations is: (x, y) = (6, -7).