The system of equation 5x+5y=10 and 2x+2y=4 has no solution.
The system of equation 3x-6y=4 and -4x+8y=7 has no solution.
Step-by-step explanation:
The set of equations "which cannot be solved for X and Y values is said to have no solution".
Now, let's try to solve the following sets of equations for x and y values to find which system of equation has no solution.
<u>option 1:</u>
divide the 1st equation by 5,
the equation becomes x+y=2
divide the 2nd equation by 2,
the equation becomes x+y=2
Both the equations are same, it cannot be solved and has no solution.
<u>option 2:</u>
look for the least coefficients of x and y to make multiplication easy
so, the coefficients of x are 3 and 4.
multiply equation1 by 4
the 1st eqn becomes 12x-24y=16
multiply euation2 by 3
the 2nd eqn becomes -12x+24y=21
Try to solve these two equation for x and y values.
since they cannot be solved to x and y values, it has No solution
Similarly the options 3 and 4 is to be solved to find either it has solution or not.
After solving <u>option 3</u>, the solution is x=0 and y=3
After solving <u>option 4</u>, the solution is x=4 and y=-1
