Question

Solve the following system of equations using the elimination method. Note that the method of elimination may be referred to as the addition method. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, enter INFINITELY MANY.)20x − 5y = 208x − 2y = 8(x, y) =

Answer 1

Given

The system of equations,

20x − 5y = 20

8x − 2y = 8

To find: The solution.

Explanation:

It is given that,

20x − 5y = 20 _____(1)

8x − 2y = 8 _____(2)

That implies,

Divide (1) by 5 and (2) by 2.

Then, (1) and (2) becomes,

4x - y = 4.

Hence, there is infinitely many solution.