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If 2x + 3y = 5 and 3y + 6 = 0, then what is the value of x?
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07 Apr 2023, 07:43
07 Apr 2023, 07:43
Expert Reply
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Question Stats:
100% (00:30) correct
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If 2x + 3y = 5 and 3y + 6 = 0, then what is the value of x?
4
11/2
13/2
7
19/2
4
11/2
13/2
7
19/2
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Re: If 2x + 3y = 5 and 3y + 6 = 0, then what is the value of x?
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13 Apr 2023, 16:55
13 Apr 2023, 16:55
1
Expert Reply
Given the two equations:
2x + 3y = 5
3y + 6 = 0
We can solve for the value of x by substituting the value of y from equation 2 into equation 1.
From equation 2, we have:
3y + 6 = 0
Solving for y, we get:
3y = -6
y = -6/3
y = -2
Now, substituting y = -2 into equation 1:
2x + 3(-2) = 5
2x - 6 = 5
2x = 5 + 6
2x = 11
Dividing both sides by 2, we get:
x = 11/2
So, the value of x is 11/2, which is option (b).
2x + 3y = 5
3y + 6 = 0
We can solve for the value of x by substituting the value of y from equation 2 into equation 1.
From equation 2, we have:
3y + 6 = 0
Solving for y, we get:
3y = -6
y = -6/3
y = -2
Now, substituting y = -2 into equation 1:
2x + 3(-2) = 5
2x - 6 = 5
2x = 5 + 6
2x = 11
Dividing both sides by 2, we get:
x = 11/2
So, the value of x is 11/2, which is option (b).
gmatclubot
Re: If 2x + 3y = 5 and 3y + 6 = 0, then what is the value of x? [#permalink]
13 Apr 2023, 16:55
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