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What is the solution set for the equations x-y=2 and -x+y=2
Yes, for example: | x | = 0 with the only solution: x = 0
The pair of equations: x + y = 1 and x + y = 3 have no solution. If any ordered pair (x,y) satisfies the first equation it cannot satisfy the second, and conversely. The two equations are said to be inconsistent.
Equations are said to be equivalent if they have the same solution. This definition also holds true in rational equations or equations involving rational expressions. For instance, the equations 2x = 14 and x - 3 = 4 are equivalent. Why? It's because they have the same solution, that is x = 7.
In the equations Y=X-1 and Y=-X+1, the solution is (1,0)
No. There could be no solution - no values for x, y, and z so that the 3 equations are true.
No.
There are an infinite number of equations with this solution, eg x = 6 - 10; x = 45678 - 45682; x squared = 16 etc etc
x=3
Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.
No.
so you can find the solution for the x-values. the x-intercepts are when the graph crosses the x-axis