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If x + y = 8, if x + z = 7, and if y + z = 6, then x = (A) 3.5 (B) 4
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09 Jun 2022, 01:00
09 Jun 2022, 01:00
Expert Reply
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Question Stats:
60% (00:54) correct
40% (01:19) wrong based on 15 sessions
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If x + y = 8, if x + z = 7, and if y + z = 6, then x =
(A) 3.5
(B) 4
(C) 4.5
(D) 5
(E) 5.5
(A) 3.5
(B) 4
(C) 4.5
(D) 5
(E) 5.5
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Re: If x + y = 8, if x + z = 7, and if y + z = 6, then x = (A) 3.5 (B) 4
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09 Jun 2022, 03:50
09 Jun 2022, 03:50
1
\(x + y = 8\) so \(y = 8 - x\)
&
\(x + z = 7\), so \(z = 7 - x\)
Now, we are given \(y + z = 6\)
\(8 - x + 7 - x = 6\)
\(x = 4.5\)
Answer \(C\)
&
\(x + z = 7\), so \(z = 7 - x\)
Now, we are given \(y + z = 6\)
\(8 - x + 7 - x = 6\)
\(x = 4.5\)
Answer \(C\)
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Re: If x + y = 8, if x + z = 7, and if y + z = 6, then x = (A) 3.5 (B) 4
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09 Jun 2022, 09:38
09 Jun 2022, 09:38
1
Carcass wrote:
If x + y = 8, if x + z = 7, and if y + z = 6, then x =
(A) 3.5
(B) 4
(C) 4.5
(D) 5
(E) 5.5
(A) 3.5
(B) 4
(C) 4.5
(D) 5
(E) 5.5
We're given the following system of equations:
x + y = 8
x + z = 7
y + z = 6
Strategy: I can see that, if we add the top 2 equations, we'll have 2x + y + z = 15.
So our system becomes:
2x + y + z = 15
y + z = 6
Subtract the bottom equation from the top equation to get: 2x = 9, which we can solve to get x = 4.5
Answer: C
