What are x and y in the following system.2x+2y =5x-3y= -2
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calendarEducator since 2010
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We have to find x and y given the equations 2x+2y=5 and x-3y= -2
x - 3y = -2
=> x = 3y - 2
substitute this in 2x + 2y = 5
=> 2*(3y - 2) + 2y = 5
=> 6y - 4 + 2y = 5
=> 8y = 9
=> y = 9/8
x = 3*(9/8) - 2
=> x = 11/ 8
Therefore we get x = 11/8 and y = 9/8
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calendarEducator since 2008
write3,662 answers
starTop subjects are Math, Science, and Social Sciences
2x+ 2y = 5...........(1)
x - 3y = -2 ..........(2)
We will use the substitution method to solve.
From (2) we will re write x= 3y-2
Now we will substitute into (1).
==> 2x +2y = 5
==> 2(3y-2) + 2y = 5
==> 6y - 4 + 2y = 5
==> 8y = 9
==> y= 9/8
==> x = 3y-2 = 3(9/8) -2 = (27- 16)/8 = 11/8
Then the answer is the pair ( 11/8 , 9/8).
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