Question

Select the statement that correctly directs the solution to this system of equations.

5x+10y=5

4x+8y=5

A) There is no solution
B) There are infinitely many solutions
C) There is exactly one solution at (5,5)
D) There is exactly one solution at (1,0)​

Answer 1

Explanation:

5x+10y=5 --->(1)

4x+8y=5 ---->(2)

from 1 we can say that

x=1-2y

sub on equation (1) we get

4-8y+8y=5

for sure we can say that 4 not equal to 5 at any cost,

So the option A)equation has no solution. :(

Answer 2

There is no solution. You can either graph this or solve it using elimination or substitution. I used substitution to isolate x in the first equation, 5x+10y=5, which is x= -2y+1. Then I substituted the x in 4x+8y=5 and solved to get 4=5, which is a false statement.