Question

tell weather the system has one solution , infinitely, many solution or no solution
5x - 3y = 10 10x + 6y = 20

Answer 1

Subtract the second equation from the first equation.
If you get a false statement, there are no solutions.

Answer 2

so the answer is one solution

Answer 3

Did you subtract the equations? What did you get?

Answer 4

get only 2 left

Answer 5

9x + 8y = 15
9x + 8y = 30
--------------(subtract) 9x - 9x = 0; 8y - 8y = 0; 15 - 30 = -15
0 + 0 = -15

0 = -15 is a false statement, so there is no solution.

Answer 6

can u help me with the top i change the question @mathstudent55

Answer 7

It should be one solution
5x-3y=10 is practically same as 10x-6y=20 (when multiplied by 2 both sides).

So when you solve the system of equations,
10x-6y=20
10x+6y=20

You can add the two equation to get x value,
i.e. 20x = 40
Therefore x = 2
when x=2, you get y=0
so yeah.. one solution