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.
B, right?
yes, you should have been 100% sure of that.
When you solve the system shown by the elimination method, which statement is true?
y + 3x = 10
−y − 3x = 10
To solve the system of equations shown using the elimination method, we can add the two equations together in order to eliminate one of the variables:
(y + 3x) + (−y − 3x) = 10 + 10
Simplifying this, we get:
0 = 20
Since we obtained the false statement 0 = 20, this means that the system of equations is inconsistent, and there is no solution. Therefore, the correct statement is:
B. There is no solution; x and y are eliminated and you get the false statement 0 = 20.
Well, what happened when you added the two equations?
Which statement matched your result ?