Question

Solve the system of equations by the substitution method.

10x + 2y = 2
- 5x = y + 10
Select the correct choice below and, if necessary, fill in the answ

Answer 1

Answer: No Solutions

Explanation:

=> 10x + 2y = 2 (Eq. 1)
=> -5x = y + 10 (Eq. 2)

From Eq. 2 :-

-5x = y + 10
=> x = (y + 10)/-5 (Eq. 3)

Substitute value of ‘x’ from Eq. 3 in 1 :-

10x + 2y = 2
10(y + 10/-5) + 2y = 2
-2(y + 10) + 2y = 2
-2y - 20 + 2y = 10
0 = 10 + 20
=> 0 = 30
LHS is not Equal to RHS.

This is a False Statement and hence this System of Equations has No Solutions.