sat suite question viewer
Algebra
/ Systems of two linear equations in two variables
Difficulty: Easy
If 
is the solution to the given system of equations, what is the value of y ?
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Explanation
Choice B is correct. Substituting 20 for 
in the second equation in the system yields 
, or 
. Subtracting 40 from both sides of this equation yields 
. Dividing both sides of this equation by 3 yields 
.
Choice A is incorrect. If 
, then 
since . However, substituting 10 for both x and y in the second equation yields 
, which is a false statement. Choice C is incorrect. If 
, then 
since . However, substituting these values for x and y in the second equation yields 
, which is a false statement. Choice D is incorrect. If 
, then 
since . However, substituting these values for x and y in the second equation yields 
, which is a false statement.