Mathematics
Easy

Question

# Solve the system:y = 3x – 103x – y = -4

## No solution(11, 8)(5, 15)Infinitely many solutions Hint:

## The correct answer is: No solution

### Here we have solve the system of equation and find x and y.Firstly , we are given, y = 3x – 10 and 3x – y = -4So we can write,y= 3x – 10 y – 3x = - 10 - 3x + y = - 103x – y = 10 -------( 1)3x – y = -4 --------(2)Now , we have a1/a2 a1/a2 = 3/3 =1and b1/b2 ,b1/b2 = -1/-1 = 1and c1/c2c1/c2 = 10/-4= -5/2so here,1 = 1 ≠ -5/2 a1/a2 = b1/b2 ≠ c1/c2therefore the system of equation of no solution.The correct answer is No solution.Or,y = 3x – 10 …(i)3x – y = -4 …(ii)Substituting y from (i) in (ii), we get 3x – (3x – 10) = -4-10 = -4The statement -10 = –4  is false, so the system of equations has 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.

### Related Questions to study  #### With Turito Foundation. #### Get an Expert Advice From Turito.  