Respuesta :

1) [tex]a= -1[/tex],  2) [tex]n=-2[/tex]

3) [tex]x=4[/tex],   4) [tex]n=0[/tex]

5) [tex]r=1[/tex],     6) [tex]r=2[/tex]

7) [tex]No\,\,solution[/tex],     8) [tex]p=-12[/tex]

9) [tex]m=2[/tex],    10) [tex]a=-3[/tex]

11) [tex]x=4[/tex]       12) [tex]n=-2[/tex]

Step-by-step explanation:

We need to solve each equation.

1) [tex]6a+5a = -11[/tex]

Solving:

Adding like terms:

[tex]11a = -11[/tex]

Divide both sides by 11

[tex]a= -1[/tex]

2) [tex]-6n-2n=16[/tex]

Solving:

Adding like terms:

[tex]-8n=16[/tex]

Divide by -8

[tex]n=-2[/tex]

3) [tex]4x+6+3=17[/tex]

Solving:

Adding like terms:

[tex]4x+9=17[/tex]

Subtract 9 on both sides:

[tex]4x=17-9[/tex]

[tex]4x=8[/tex]

Divide both sides by 4

[tex]x=4[/tex]

4) [tex]0=-5n-2n[/tex]

Solving:

[tex]0=-7n[/tex]

Divide both side by -7

[tex]n=0[/tex]

5) [tex]6r-1+6r=11[/tex]

Solving:

12r-1=11

Adding 1 on both sides

[tex]12r=12[/tex]

Divide both sides by 12

[tex]r=1[/tex]

6) [tex]r+11+8r=29[/tex]

Solving:

[tex]9r+11=29\\9r=29-11\\9r=18\\r=2[/tex]

7) [tex]-10=-14v+14v[/tex]

Solving

[tex]-10=-14v+14v\\-10\neq 0\\No\,\,solution[/tex]

8) [tex]-10p+9p=12[/tex]

Solving:

[tex]-10p+9p=12\\-p=12\\p=-12[/tex]

9) [tex]42=8m+13m[/tex]

Solving:

[tex]42=8m+13m\\42=21m\\m=42/21\\m=2[/tex]

10) [tex]a-2+3=-2[/tex]

Solving:

[tex]a-2+3=-2\\a+1=-2\\a=-2-1\\a=-3[/tex]

11) [tex]18=3(3x-6)[/tex]

Solving:

[tex]18=3(3x-6)\\18=9x-18\\18+18=9x\\36=9x\\x=36/9\\x=4[/tex]

12) [tex]30=-5(6n+6)[/tex]

Solving:

[tex]30=-5(6n+6)\\30=-30n-30\\30+30=-30n\\60=-30n\\n=60/-30\\n=-2[/tex]

Keywords: Solving Polynomials

Learn more about solving Polynomials at:

  • brainly.com/question/12700460
  • brainly.com/question/1414350
  • brainly.com/question/4142886

#learnwithBrainly

ACCESS MORE