Mathematics
Grade10
Easy
Question
Solve the system:
x=7y−20
3x – 21y = 10
- No solution
- (11, 8)
- (5, 15)
- (5, 15)
Infinitely many solutions.
- (5, 15)
Hint:
In this question, we are given two system of equation , we have to find the value x and y. Make two equation , if (a1/a2) = (b1/b2) = (c1/c2) then it is infinitely many solutions, if (a1/a2) = (b1/b2) ≠ (c1/c2) and if (a1/a2) ≠(b1/b2) then it is unique solution.
The correct answer is: No solution
Here we have solve the system of equation and find x and y.
Firstly , we are given, x = 7y – 20 and 3x – 21y = 10
So we can write,
x = 7y – 20 …(i)
3x – 21y = 10 …(ii)
Substituting x from (i) in (ii), we get
3(7y – 20) – 21y = 10
21y – 60 – 21y= 10
-60 = 10
The statement -60 =10 is false, so the system of equations has no solution.
Therefore the system of equation of no solution.
The correct answer is No solution.
In this question, we have to find the system of equation. If (a1/a2) = (b1/b2) = (c1/c2) then it is infinitely many solutions, if (a1/a2) = (b1/b2) ≠ (c1/c2) and if (a1/a2) ≠(b1/b2) then it is unique solution.
