Question

Which ordered pair (a, b) is a solution to the given system of linear equations?

3a+b=10
-4a-2b=2

(1, 7)
(3, 1)
(11, –23)
(23, –11)

Answer 1

The answer is (11,-23)

Answer 2

Option C

Explanation:

Given is a systems of equations in two variables a and b.

3a+b=10

-4a-2b=2

Let us solve this and find solution.

We can do this by elimination method

I equation x 2 gives

`6a+2b =20\\-4a-2b=2`

Add these two equations to get

2a = 22

Divide by 2

We get a=11

Substitute in I equation

3(11)+B=10

b =10-33 =-23

Hence solution set is

(11,-23)

Option C is the right anser.