Which system of equations has no solution?
5 x + 5 y = 10 and 2 x + 2 y = 4
3 x minus 6 y = 4 and negative 4 x + 8 y = 7
6 x + 2 y = 6 and 7 x + 3 y = 9
3 x minus 4 y = 16 and 2 x + 3 y = 5

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

step-by-step explanation: examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality