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26 votes
26 votes
Xy=10
4x+2y=30
I need help asap

Xy=10 4x+2y=30 I need help asap-example-1
User Alease
by
3.5k points

1 Answer

22 votes
22 votes

Answer:

x = 25/3; y = -5/3

Explanation:

You did well so far by multiplying both sides of the first equation by 2.

Now notice that you have -2y in the new first equation and 2y in the second equation. -2y and 2y add to 0.

Now add the equations to eliminate y.

2x - 2y = 20

(+) 4x + 2y = 30

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

6x = 50

6x/6 = 50/6

x = 50/6 = 25/3

2x - 2y = 20

2(25/3) - 2y = 20

50/3 - 2y = 60/3

-2y = 60/3 - 50/3

-2y = 10/3

-2y/2 = (10/3)/(-2)

y = -5/3

Solution: x = 25/3; y = -5/3

User Victor Ejiogu
by
2.8k points