Question

What is the solution to the system of equationsY=4x+11 and y =-2x-1

Answer 1

For this case we must solve a system of two equations with two unknowns, given by "x" and "y".

We have:

`y = 4x + 11\ (1)\\y = -2x-1\ (2)`

We multiply (2) by -1:

`-y = 2x + 1\ (3)`

We add (1) and (3):

`y-y = 4x + 2x + 11 + 1\\0 = 6x + 12`

Clearing x:

`-12 = 6x\\x = \frac {-12} {6}\\x = -2`

We substitute
`x = -2` in (2)

`y = -2 (-2) -1\\y = 4-1\\y = 3`

Thus, the solution of the system is
`(x, y) = (- 2,3)`

Answer:

The solution of the system is
`(x, y) = (- 2,3)`