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If 2x + 7y = 33 and x = 2y, then x =
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14 Mar 2023, 10:44
14 Mar 2023, 10:44
Expert Reply
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Question Stats:
100% (00:28) correct
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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Re: If 2x + 7y = 33 and x = 2y, then x =
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06 Apr 2023, 20:31
06 Apr 2023, 20:31
Expert Reply
To solve the system of equations given by:
2x + 7y = 33
x = 2y
We can substitute the value of x from the second equation into the first equation to solve for y, and then use the value of y to find x.
Substitute x = 2y into the first equation:
2(2y) + 7y = 33
4y + 7y = 33
11y = 33
y = 33 / 11
y = 3
Now that we have the value of y, we can substitute it back into the second equation to find x:
x = 2y
x = 2(3)
x = 6
So, the solution to the system of equations is x = 6 and y = 3.
Answer: E
2x + 7y = 33
x = 2y
We can substitute the value of x from the second equation into the first equation to solve for y, and then use the value of y to find x.
Substitute x = 2y into the first equation:
2(2y) + 7y = 33
4y + 7y = 33
11y = 33
y = 33 / 11
y = 3
Now that we have the value of y, we can substitute it back into the second equation to find x:
x = 2y
x = 2(3)
x = 6
So, the solution to the system of equations is x = 6 and y = 3.
Answer: E
gmatclubot
Re: If 2x + 7y = 33 and x = 2y, then x = [#permalink]
06 Apr 2023, 20:31
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