Respuesta :
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.
option 1:
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.
option 2:
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 option 3, the solution is x=0 and y=3
After solving option 4, the solution is x=4 and y=-1
Answer:
The system of the equation; 5 x + 5 y = 10 and 2 x + 2 y = 4 has no solution
Step-by-step explanation:
Let's check the first equation and see
5x + 5y = 10 ------------------------------------------------------------------------(1)
2x + 2y = 4 -------------------------------------------------------------------------(2)
Using elimination method,
Multiply through equation (1) by 2 and multiply through equation(2) by 5
10x + 10y = 20 ----------------------------------------------------------------------(3)
10x + 10y = 20 ---------------------------------------------------------------------(4)
When we subtract equation (3) from (4), both the x and y variables will go away.
Therefore this system of equation has no solution.
