Question

What ordered pair is a solution to
{2y=4x-10}
{-y=4x-1}

Answer 1

Answer: (1, -3) => x = 1, y = -3

Step-by-Step Explanation:

Lets solve using Elimination Method :-

2y = 4x - 10
-4x = -10 - 2y
=> -4x + 2y = -10 (Eq. 1)

-y = 4x - 1
-4x = -1 + y
=> -4x - y = -1 (Eq. 2)

Subtracting Eq. 2 from Eq. 1 :-

=> 0 + 3y = -9
3y = -9
=> y = -9/3 = -3

Therefore, y = -3

Substitute value of ‘y’ in Eq. 2 :-

-4x - y = -1
-4x -(-3) = -1
-4x + 3 = -1
-4x = -1 - 3
-4x = -4
4x = 4
=> x = 4/4 = 1

Therefore, x = 1

Hence the ordered pair (1,-3) is the Solution to this System of Equations.