Question

HELP ASAP I GIVE 60 points total and big brain!!!! Solve the system of equations by substitution. If there is one solution, express it as an ordered pair. If there is no solution, write no solution. If there is an infinite number of solutions, write infinite number of solutions.

x−y=−5x
x−y=1/3

Answer 1

(x, y) = (-1/15, -2/5)

Explanation:

You want to solve the system of equations by substitution:

• x -y = -5x
• x -y = 1/3

Substitution

We can use the second equation to substitute for (x-y) in the first equation:

1/3 = -5x

-1/15 = x . . . . . . . . divide by -5

Substituting this value into the second equation, we have ...

-1/15 -y = 1/3

-1/15 -1/3 = y = -6/15 = -2/5

The solution is (x, y) = (-1/15, -2/5).

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Answer 2

Given:

• x - y = -5x
• x - y = 1/3

Substitute the value of "x - y" into equation 1.

• x - y = -5x
• 1/3 = -5x

Divide -5 both sides.

• 1/3 ÷ -5 = -5x/-5
• 1/3 x 1/-5 = x
• x = 1/-15 = -1/15

Substitute the value of x into equation 2.

• x - y = 1/3
• -1/15 - y = 1/3
• -1/15 - y = 5/15
• -y = 5/15 + 1/15
• y = -6/15 = -2/5

Putting the solutions in (x,y) form.

• ⇒ (x,y) ⇒ (-1/15, -2/5)