For this case we must indicate the solution of the following system of equations:
[tex]y = -4x + 6\\y = -5x-4[/tex]
Equating both equations we have:
[tex]-4x + 6 = -5x-4[/tex]
Adding 5x to both sides of the equation:
[tex]-4x + 5x + 6 = -4\\x + 6 = -4[/tex]
Subtracting 6 from both sides of the equation:
[tex]x = -4-6\\x = -10[/tex]
We look for the value of y:
[tex]y = -5x-4\\y = -5 (-10) -4\\y = 50-4\\y = 46[/tex]
Thus, the solution is:[tex](x, y): (- 10,46)[/tex]
Answer:
[tex](x, y): (- 10,46)[/tex]
