for what values of x and y will x - y = 0
Answers
Answer:
Let me clarify one thing here, and that is, whenever we have equations with two variables we need minimum of 2 conditions to find values of those variables in the equation. But here the case is that we have an equation with 2 variables but we are provided with only 1 condition and that condition is that:
sum of variables is equal to 0.
what is the solution of this equation or is there a solution or are there solutions of this equation.
Since, we have only one condition we can’t specifically find a solution for this equation. There exists a set of solutions to this equation. If this equation is rearranged we get:
x = -y
This means that for every value of x there is a value of y whose sign is opposite to that of x.
Now, you can choose whatever value you want and you will get an opposite value for y.
Any equal and opposite sign values of x and y will satisfy this equation.
we can also arrive at this result by taking another equation whose coefficients of x and y are 0.
Now we have 2 equations one is x+y=0 and other is 0(x)+0(y) =0.
if we find ratios of coefficients of first equation to that of second equation we will find that the ratio of a1/a2 = b1/b2 =c1/c2 and they are all infinity because their denominators are 0.
thus since ratios are all equal we have the graphs of two equation parallel to each other hence infinity solutions.