Question

What is the solution to the system of equations below?

Answer 1

Answer:

(-5,-14)

Step-by-step explanation:

To find the solution of the system of two equations

$\left\{\begin{array}{l}y=4x+6\\y=2x-4\end{array}\right.$

equate right sides of these two equations:

$4x+6=2x-4$

Rewrite terms with x into the left side and without x into the right side:

$4x-2x=-4-6\\ \\2x=-10\ [\text{divide by 2}]\\ \\x=-5$

Substitute x=-5 into the first equation:

$y=4\cdot (-5)+6=-20+6=-14$

The solution is (-5,-14)