49.4k views
1 vote
If 3x+2y=48 and 2x+3y=12, then the value of x-2y, to the nearest tenth, is..

User JWqvist
by
8.2k points

1 Answer

4 votes
We can solve this system of equations by multiplying the first equation by 3 and the second equation by 2, and then subtracting the second equation from the first to eliminate y:

9x + 6y = 144
4x + 6y = 24
-----------------
5x = 120

Dividing both sides by 5, we get:

x = 24

Substituting this value of x into either of the original equations, we can solve for y:

3x + 2y = 48
3(24) + 2y = 48
72 + 2y = 48
2y = -24
y = -12

Therefore, x - 2y = 24 - 2(-12) = 24 + 24 = 48.

Rounding to the nearest tenth, we get:

x - 2y = 48.0.
User Kaf
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