Question if-sat

1.4 Systems of Two Linear Equations - Substitution method
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negative x plus y, equals negative 3 point 5, and, x plus 3 y, equals 9 point 5

If the ordered pair x comma y 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 three halves. 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 open parenthesis, negative x plus y, close parenthesis, plus, open parenthesis, x plus 3 y, close parenthesis, or 4y. Adding the right-hand sides yields negative 3 point 5 plus 9 point 5, equals 6. It follows that 4 y equals 6. Finally, dividing both sides of 4 y equals 6 by 4 yields y equals six fourths or three halves. Note that 3/2 and 1.5 are examples of ways to enter a correct answer.