Respuesta :
Answer:
1) [tex]x = -4[/tex]
2) [tex]m = -8[/tex]
3) [tex]x= 5[/tex]
4) [tex]x = -3[/tex]
5) [tex]y = 1[/tex]
6) [tex]y = -4[/tex]
7) [tex]n = -3[/tex]
8) [tex]y = 1[/tex]
9) [tex]x = \frac{8}{3}[/tex]
10) [tex]y = 4[/tex]
11) [tex]a = -\frac{14}{3}[/tex]
12) [tex]y = 2[/tex]
Step-by-step explanation:
1) [tex]5x + 32 = 8 -x[/tex]
[tex]5x + 32 +x = 8 -x +x[/tex]
[tex]6x + 32 = 8[/tex]
[tex]6x +32 - 32 = 8 -32[/tex]
[tex]6x = -24[/tex]
[tex]\frac{6x}{6} =\frac{-24}{6}[/tex]
[tex]x = -4[/tex]
2) [tex]m - 12 = 3m +4[/tex]
[tex]m - 12 -3m = 3m -3m +4[/tex]
[tex]-2m -12 = 4[/tex]
[tex]-2m -12 +12 = 4 + 12[/tex]
[tex]-2m = 16[/tex]
[tex]\frac{-2m}{-2}= \frac{16}{-2}[/tex]
[tex]m = -8[/tex]
3) [tex]2x + 2 = 3x -3[/tex]
[tex]2x +2 -3x = 3x -3x -3[/tex]
[tex]-x +2 = -3[/tex]
[tex]-x +2 - 2 = -3 -2[/tex]
[tex]- x = -5[/tex]
[tex]\frac{-x}{-1}= \frac{-5}{-1}[/tex]
[tex]x = 5[/tex]
4) [tex]15x + 25 = 4x -8[/tex]
[tex]15x + 25 -4x = 4x - 4x -8[/tex]
[tex]11x + 25 = -8[/tex]
[tex]11x +25 - 25 = -8 -25[/tex]
[tex]11x = -33[/tex]
[tex]\frac{11x}{11}= \frac{-33}{11}[/tex]
[tex]x = - 3[/tex]
5) [tex]8y-3=10y +5[/tex]
[tex]8y -3 - 10y = 10y - 10y +5[/tex]
[tex]-2y - 3 =5[/tex]
[tex]-2y - 3 +3 = 5 +3[/tex]
[tex]-2y = 8[/tex]
[tex]\frac{-2y}{-2}= \frac{8}{-2}[/tex]
[tex]y = -4[/tex]
6) [tex]2y - 4 = 12 -14y[/tex]
[tex]2y - 4 +14y = 12 - 14y + 14y[/tex]
[tex]16y - 4 = 12[/tex]
[tex]16y - 4 +4 = 12 +4[/tex]
[tex]16y = 16[/tex]
[tex]\frac{16y}{16} =\frac{16}{16}[/tex]
[tex]y =1[/tex]
7) [tex]15 n + 25 = 2n - 14[/tex]
[tex]15n -+25 -2n = 2n -2n -14[/tex]
[tex]13n + 25 = -14[/tex]
[tex]13n +25 - 25 = -14 -25[/tex]
[tex]13n=-39[/tex]
[tex]\frac{13n}{13} =\frac{-39}{13}[/tex]
[tex]n = -3[/tex]
8) [tex]4y +2 = 18 -12y[/tex]
[tex]4y +2 +12y = 18 -12y +12y[/tex]
[tex]16y + 2 = 18[/tex]
[tex]16y +2 -2 = 18 -2[/tex]
[tex]16y = 16[/tex]
[tex]\frac{16y}{16}= \frac{16}{16}[/tex]
[tex]y =1[/tex]
9) [tex]6x -2 = 3x + 6[/tex]
[tex]6x - 2 -3x = 3x -3x +6[/tex]
[tex]3x -2 =6[/tex]
[tex]3x -2 +2 = 6 +2[/tex]
[tex]3x = 8[/tex]
[tex]\frac{3x}{3} =\frac{8}{3}[/tex]
[tex]x = \frac{8}{3}[/tex]
10) [tex]13y - 8 = 7y +16[/tex]
[tex]13y -8 -7y = 7y -7y +16[/tex]
[tex]6y -8 = 16[/tex]
[tex]6y - 8 +8 = 16 +8[/tex]
[tex]6y = 24[/tex]
[tex]\frac{6y}{6}= \frac{24}{6}[/tex]
[tex]y = 4[/tex]
11) [tex]9a - 22 = 12a - 8[/tex]
[tex]9a - 22 - 12a = 12a -12a -8[/tex]
[tex]-3a - 22 = -8[/tex]
[tex]-3a - 22 +22 = -8 +22[/tex]
[tex]-3a = 14[/tex]
[tex]\frac{-3a}{-3} =\frac{14}{-3}[/tex]
[tex]a = -\frac{14}{3}[/tex]
12) [tex]4y - 4 = 16 -2y[/tex]
[tex]4y +4 +2y = 16 -2y +2y[/tex]
[tex]6y + 4 = 16[/tex]
[tex]6y +4 -4 = 16 -4[/tex]
[tex]6y = 12[/tex]
[tex]\frac{6y}{6} =\frac{12}{6}[/tex]
[tex]y = 2[/tex]
