# Which is true regarding the system of equations? x-4y=1 5x-20y=4 The system results in a false statement. The system results in an intersection at one point. The system results in many solutions because they are the same line. The system results in a true statement.

The system of equations results in a false statement.

How to estimate the value of the system of equations?

Let's solve the system of equation

x - 4y = 1 ......(1)

5x - 20y = 4 ........(2)

By using the elimination method

Eliminate y by multiplying (1) by -5

We have,

-5x + 20y = -5 ...........(3)

Adding (3) and (2), then we get

(x - 4y = 1) + (-5x + 20y = -5)

-5x + 20y = -5

5x - 20y = 4

---------------------

0 = -1

Therefore, the correct answer is option (a). The system results in a false statement.

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NO SOLUTION

Step-by-step explanation:

Let's actually solve the system

x-4y=1

5x-20y=4

Let's eliminate y.  To do this, multiply the first equation by -5, obtaining

-5x + 20y = -5

Now add this result to the second equation:

-5x + 20y = -5

5x -  20y =  4

--------------------

0   = -1

This result is never true.  Thus, this system of linear equations has NO SOLUTION.

## Related Questions

What is 2 1/2 + 4 2/3

7 1/6

Step-by-step explanation:

2 1/2 + 4 2/3

We need to get a common denominator of 6

2 1/2*3/3  + 4 2/3 *2/2

2 3/6 + 4 4/6

6  7/6

But we cannot leave an improper fraction

6 + 1 1/6

7 1/6

7 1/6

Step-by-step explanation:

so first off starting with the whole numbers 2+4 is 6, adding the fractions 1/2+2/3= 1 1/6 so add the whole number to the 6 and now you got 7 so now the final answer is 7 1/6

Lisa has a certain amount of money. She spent 39 dollars and has 3/4th of the original amount left. How much money did she have originally

If  is left, that means  was spent. So  of the total amount is equal to 39.. Let's say x to the total amount.

\$156, \$39 is 1/4 of the money so 39 * 4 = 156

A triangular sign in a store has a perimeter of 5.5'. To of the sides of the triangle are the same length while a 3rd Side is 1' longer than those sites. Find out lengths of the sides of the sign

So the perimeter is equal to the sum of all the sides.

Let's call X the length of side one and side 2, and side 3 is equal to x+1.

So,

P= S1+ S2 +S3

5.5 = X + X+ (X+1)

5.5 = 3x+1

4.5 = 3x

1.5 = x

So, the sides' lengths are 1.5, 1.5, and 2.5

Arrange the numbers as they appear from left to right on a horizontal number line. -2.76, 2.5, 2.85, -1.58, -1.85, -2.57, -2.5

1. -2.76

2. -2.57

3. -2.5

4. -1.85

5. -1.58

6. 2.5

7. 2.85

Step-by-step explanation: