Question

{ y = - 4x-23-4x-3y=13

Answer 1

For this case we have the following system of equations:

`y = -4x-23\\-4x-3y = 13`

We solve by the substitution method:

We substitute the first equation in the second equation:

`-4x-3 (-4x-23) = 13`

We apply distributive property considering that
`- * - = +:`

`-4x + 12x + 69 = 13\\8x + 69 = 13`

We subtract 69 from both sides of the equation:

`8x = 13-69\\8x = -56`

We divide by 8 on both sides of the equation:

`x = \frac {-56} {8}\\x = -7`

We look for the value of the variable y:

`y = -4 (-7) -23\\y = 28-23\\y = 5`

Thus, the solution of the system is
`(x, y): (-7,5)`

Answer:

`(x, y): (-7,5)`