Solve using comparison method. a. 2x + 3y = 17 and 3y = 15 - x
2 answers:
Answer:
(2, )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 17 → (1)
3y = 15 - x → (2)
Substitute 3y = 15 - x into (1)
2x + 15 - x = 17, that is
x + 15 = 17 ( subtract 15 from both sides )
x = 2
Substitute x = 2 into either of the 2 equations for corresponding value of y
Substituting in (1)
2(2) + 3y = 17
4 + 3y = 17 ( subtract 4 from both sides )
3y = 13 ( divide both sides by 3 )
y =
Solution is (2, )
Rearranging...
3y + x = 15
3y + 2x = 17
Using elimination method
2x - x = -15 + 17
X = 2
From equation.... 2
3y + 2 = 15
3y = 15 - 2
3y = 13
Y = 13/3
::x = 2 while y = 13/3
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