SAT Mathematics Practice Test 4

Question : 3 of 58

Marks: +1, -0

x/y=6

4(y+1)=x

(x, y)

is the solution to the system of equations above, what is the value of

y

Solution:

The first equation can be rewritten as

x=6y.

Substituting 6y for x in the second equation gives

4(y+1)=6y.

The left-hand side can be rewritten as

4y + 4,

giving

4y + 4=6y.

Subtracting

4y

from both sides of the equation gives

4=2y,

y = 2.

Choices B, C, and D are incorrect and may be the result of a computationalor conceptual error when solving the system of equations.

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