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 $(x, y) = (- 2,3)$