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

Question

asked Nov 6, 2018 83.9k views

2 Answers

Loek Bergman · Answer 1 · 2018-11-13T09:16:53+0000

Answer:

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)