34.2k views
5 votes
-5x+6y=33
-18x+4y=-22

User Sarmahdi
by
7.9k points

1 Answer

5 votes

Answer:

The correct answer is x = 3 and y = 8

Explanation:

1. First equation

- 5x + 6y = 33

-5x = 33 - 6y

- x = 33/5 - 6y/5 (Dividing by 5 at both sides of the equation)

x = - 33/5 + 6y/5 (Multiplying by - 1 at both sides of the equation)

2. Second equation

- 18x + 4y = -22

- 18 (-33/5 + 6y/5) + 4y = - 22 (Replacing x by the result of the 1st equation)

594/5 - 108y/5 + 4y = - 22

594 - 108y + 20y = -110 (Multiplying by 5 at both sides of the equation)

-88y = -110 - 594

-88y = -704

-y = - 8 (Dividing by 88 at both sides of the equation)

y = 8 (Multiplying by - 1 at both sides of the equation)

3. Replacing y in the first equation for finding x

x = - 33/5 + 6(8)/5

x = - 33/5 + 48/5

x = 15/5

x = 3

4. Proof of x =3 and y = 8

-5x + 6y = 33

-5 (3) + 6 (8) = 33

-15 + 48 = 33

33 = 33

It's proved that x = 3 and y= 8 are correct

User Marcelo Paco
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories