Question the-sy

1.4 Systems of Two Linear Equations - Elimination method
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one half y equals 4
x minus, one half y, equals 2

The system of equations above has solution (x, y). What is the value of x ?

A.

4

B.

6

C.

3

D.

the fraction 7 over 2​​​​​​​

The system of equations above has solution ( x , y ). What is the value

Hard-difficulty · SAT Math · Systems of Two Linear Equations — Elimination method. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice D is correct. Adding the corresponding sides of the two equations eliminates y and yields x equals 6, as shown.

The equation one half y equals 4, added to the equation x minus one half y, equals 2, gives the equation x plus 0, equals 6

If (x, y) is a solution to the system, then (x, y) satisfies both equations in the system and any equation derived from them. Therefore, x equals 6.

Choices A, B, and C are incorrect and may be the result of errors when solving the system.