Question

Solve the system using substitution. Write the solution as an ordered pair. (1 point) SHOW YOUR WORK FOR FULL CREDIT! (2 points)

Answer 1

Answer:

The solution is (-2,-11)

Step-by-step explanation:

The given system is

$-5x+y=-1$

and

$y-4x=-3$

Make y the subject in the first equation to get;

$y=5x-1$

Put $y=5x-1$ into the second equation.

$5x-1-4x=-3$

Group similar terms;

$5x-4x=-3+1$

$x=-2$

Put $x=-2$ into $y=5x-1$.

This implies that;

$y=5(-2)-1$

$y=-10-1$

$y=-11$

The solution is (-2,-11)

Answer 2

Answer:

(-2, -11)

Step-by-step explanation:

We are given the following two equations:

$-5x + y = -1$ --- (1)

$y - 4x = -3$ --- (2)

From equation (2):

$y=4x-3$

Substituting this value of y in equation (1) to get:

$-5x + y = -1$

$-5x + (4x-3) = -1$

$-5x+4x=-1+3$

$x=-2$

Now substituting the value of x in equation (2) to get:

$y - 4(-2) = -3$

$y+8=-3$

$y=-8-3$

$y=-11$

Therefore, the solution of the equations as an ordered pair is (-2, -11).