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Consider the system of linear equations below.
4x = 9y = 9
-x + 3y = 6
Rewrite one of the two equations above in the form ax + by = c, where a, b, and c are constants, so that the sum of the new equation and the unchanged equation from the original system results in an equation in one variable.
4x = 9y = 9 (This equation is incorrect in its formatting. It should be 4x + 9y = 9.)
-x + 3y = 6
Let's rewrite the first equation in the correct format:
4x + 9y = 9
Now, let's add the two equations together:
(-x + 3y) + (4x + 9y) = 6 + 9
3x + 12y = 15
The sum of the new equation (3x + 12y = 15) and the unchanged equation (-x + 3y = 6) from the original system is an equation in one variable.