Question if-sat
1.4 Systems of Two Linear Equations - Substitution method
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If satisfies the system of equations above, what is the value of y ?
Enter your answer:
If satisfies the system of equations above, what is the value of y ?
Hard-difficulty · SAT Math · Systems of Two Linear Equations — Substitution method. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
The correct answer is . One method for solving the system of equations for y is to add corresponding sides of the two equations. Adding the left-hand sides gives
, or 4y. Adding the right-hand sides yields
. It follows that
. Finally, dividing both sides of
by 4 yields
or
. Note that 3/2 and 1.5 are examples of ways to enter a correct answer.
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