Answer:
(-5,-14)
Step-by-step explanation:
To find the solution of the system of two equations
[tex]\left\{\begin{array}{l}y=4x+6\\y=2x-4\end{array}\right.[/tex]
equate right sides of these two equations:
[tex]4x+6=2x-4[/tex]
Rewrite terms with x into the left side and without x into the right side:
[tex]4x-2x=-4-6\\ \\2x=-10\ [\text{divide by 2}]\\ \\x=-5[/tex]
Substitute x=-5 into the first equation:
[tex]y=4\cdot (-5)+6=-20+6=-14[/tex]
The solution is (-5,-14)
