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605-655 (Medium)|   Coordinate Plane|                           
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EMPOWERgmatRichC
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GMAT 1: 800 Q51 V49
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In the xy-plane, the straight-line graphs of the three equations above 23 May 2022, 14:37
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tkorzhan1995
GMATNinja, Bunuel, can you please clarify whether st1 and st2 are even necessary to solve this question?

I approached this question in the following way:

y = ax - 5----> r=ap-5;
y = x + 6---> r=p+6
y = 3x + b---> r=3p+b
3p+b=p+6--> p+b/3=p+6---> b/3=6--> b=18
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Hi tkorzhan1995,

To start, DS questions ALWAYS require some additional information to solve - so if you think that you don't need any additional information to answer the question that is asked, then there's either something wrong with the question or you're making some type of mistake in your work (and/or not considering some option).

'Substituting in' the values of P and R (for X and Y, respectively) is fine, but there's an error in your calculation. With the equation:

3P + B = P + 6

You can certainly 'divide by 3' if you like, but since you're dealing with an equation, you must divide BOTH sides of the equation by 3. That would give you:

P + (B/3) = (P/3) + 2

As such, you cannot 'eliminate' the variable P in this fashion (no matter how you proceeded, you'd still be left with two variables and one equation: (2/3)(P) + (B/3) = 2.

GMAT assassins aren't born, they're made,
Rich

Contact Rich at: [email protected]
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avigutman
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Schools: NYU Stern (WA)
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In the xy-plane, the straight-line graphs of the three equations above 07 Jul 2022, 10:22
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Video solution from Quant Reasoning:
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In the xy-plane, the straight-line graphs of the three equations above 07 Jan 2025, 10:56
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