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

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

User Djikay
by
6.4k points

2 Answers

2 votes

Answer:

(-2, -11)

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).

User Rimu Atkinson
by
7.0k points
0 votes

Answer:

The solution is (-2,-11)

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)

User NFC Guy
by
6.3k points