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Y-x=15 y-x=5 using elimination

User Athor
by
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1 Answer

3 votes

Answer:

No solution

Explanation:

To eliminate is to get rid of one of the variables.

You can choose to either add each term in the equations or subtract each term in the equation.

For a variable to be eliminated, there must one pair that have the same constant with it. Each equation already has the same constant with a variable.

Try adding them.

. y - x = 15

+ y - x = 5

2y - 2x = 20 No variables were eliminated.

Try subtracting.

. y - x = 15

- y - x = 5

0y - 0x = 10 All variables were eliminated.

. 0 = 10 This is false.

This system of equations cannot be solved.

Graphically, these two lines would have the same slope and are parallel. The solution to a system is same as the point of intersection. Parallel lines never meet, never intersect, therefore there is no solution.

User Joshwbrick
by
4.7k points