Question

{4x-y=-1
{x-5y=-100

Please help it's due tomorrow, i'v been stuck on this forever

Answer 1

(5,21)

Explanation:

multiply the second equation by 4

=4x-20y=-400

now subtract the second from first

4x-4x = 0

-y-(-20y) = 19y

-1-(-400) = 399

19y = 399

divide equation by 19

399/19 = 21

y = 21

input 21 into any of the equations

4x-21=-1

4x=20

divide equation by 4

x=5

answer is (5,21)

Answer 2

To solve the system of equations:

4x - y = -1 ...(1)
x - 5y = -100 ...(2)

You can use the elimination method to eliminate one of the variables. To do this, multiply equation (2) by 4 to get:

4x - 20y = -400 ...(3)

Now, subtract equation (1) from equation (3) to eliminate the x variable:

(4x - 20y) - (4x - y) = -400 - (-1)

Simplifying this expression gives:

-19y = -399

Dividing both sides by -19 gives:

y = 21

Now that we have the value of y, we can substitute it into either equation (1) or (2) to solve for x. Let's use equation (1):

4x - y = -1

Substituting y = 21 gives:

4x - 21 = -1

Adding 21 to both sides gives:

4x = 20

Dividing both sides by 4 gives:

x = 5

Therefore, the solution to the system of equations is x = 5 and y = 21.