Systems of Linear Equations and Inequalities

Question

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When you solve the system shown by the elimination method, which statement is true?
 y + 3x = 10
−y − 3x = 10

 

A.

You eliminate y; the sum of the coefficients of y is zero. Then, you can solve for x.
 

 

B.

There is no solution; x and y are eliminated and you get the false statement 0 = 20.
 

 

C.

There are infinitely many solutions; x and y are eliminated and you get the true statement 0 = 0.
 

 

D.

You eliminate x; the sum of the coefficients of x is zero. Then, you can solve for y.

Answer 1

The answer is B because both x and y are eliminated simultaneously and the equation is false.

Answer 2

Given y + 3x = 10.......(1)
−y − 3x = 10......(2)

Solve equation (1) and (2)
0=20

Which is no true

Hence the correct answer is

B. There is no solution; x and y are eliminated and you get the false statement 0 = 20.

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