SAT question 3a84f885 (Systems of Linear Equations)

Question

( x - 2 ) - 4 ( y + 7 ) = 117 ( x - 2 ) + 4 ( y + 7 ) = 442 The solution to the given system of equations is ( x , y ) . What is the value of 6 ( x - 2 ) ?

College Board · Accepted Answer

The correct answer is 1677. The correct answer is 1,677 . Adding the first equation to the second equation in the given system yields ( x - 2 ) + ( x - 2 ) + ( - 4 ) ( y + 7 ) + 4 ( y + 7 ) = 117 + 442 , or 2 ( x - 2 ) = 559 . Multiplying both sides of this equation by 3 yields 6 ( x - 2 ) = 1,677 . Therefore, the value of 6 ( x - 2 ) is 1,677 .

viccereno_77 · Answer

I graphed both equations and found the x-value from their intersection. I plugged it into the given expression, 6(x-2), and got the answer 1677.

Explanation

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Student discussion

SAT Question 3a84f885: Systems of Linear Equations answer and explanation with Desmos solution

Explanation

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Student discussion