Solve the given systems (PLS HELP ASAP)

Question

Solve the given systems (and please show work)

5x - 10y = 7

x - 2y = 3

Answer choices

A) No Solution

B) Infinite Solutions

C) (5,0)

D) (1,2)

Answer 1

Eq 1) 5x - 10y = 7

Eq 2) x - 2y = 3

Modify equation 2 by multiplying both sides by -5:

Eq 2A) -5x + 10y = -15

Now add Eq 1) and Eq 2A):

Eq 1) 5x - 10y = 7

Eq 2A) -5x + 10y = -15

-------------------------------

0x + 0y = -8

or 0 = -8

Since zero does not equal -8, we can say that there are no values of either x and/or y that make this system of equations true. In other words, the answer is A) No Solution