Question

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

Answer 1

A

Explanation:

Answer 2

A. (-13,-3)

Explanation:

Solve the system of two equations:

`\left\{\begin{array}{l}-2a+3b=14\\a-4b=3\end{array}\right.`

From the second equation:

`a=3+4b`

Substitute it into the first equation:

`-2(3+4b)+3b=14\\ \\-6-8b+3b=14\\ \\-8b+3b=14+6\\ \\-5b=20\\ \\5b=-20\\ \\b=-4`

So,

`a=3+4b=3+4\cdot (-4)=3-16=-13`

The solution is (-13,-4)