The linear equation 3x-11y =10 has
Answers
Given : linear equation 3x-11y =10
To find : Slope , number of Solution
Solution:
The linear equation 3x-11y =10 has infinitely many Solutions
as this is Single Equation with two variables
3x-11y =10
=> 11y = 3x - 10
=> y = 3x/11 - 10/11
Comparing with
y = mx + c
m = 3/11
Slope of given line = 3/11
Line Cut y axis at - 10/11
& x axis at 10/3
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Answer
Correct option: c) infinitely many solutions
Step-by-step explanation:
We have an equation with two variables, so as we have a system with less equations (just one) than variables (two), we have an infinite number of solutions.
To find some solutions, we can choose values for x and then just calculate the value of y:
x = 0:
-11y = 10 -> y = -10/11
x = 1:
3 - 11y = 10 -> y = -7/11
x = 2:
6 - 11y = 10 -> y = -4/11
And so on.
So the correct option is c): infinitely many solutions