selesaikan pesamaan linear pecahan berikut 1. [tex] \frac{2(x - 2)}{3} [/tex]- 10 = -5x 2. [tex] \frac{4(3 - x)}{5} [/tex]=3x - 6 3. [tex] \frac{8x}{9} [/tex]-[
Matematika
yuyunfa58
Pertanyaan
selesaikan pesamaan linear pecahan berikut
1. [tex] \frac{2(x - 2)}{3} [/tex]- 10 = -5x
2. [tex] \frac{4(3 - x)}{5} [/tex]=3x - 6
3. [tex] \frac{8x}{9} [/tex]-[tex] \frac{1}{3} [/tex]= 2 -[tex] \frac{5x}{6} [/tex]
4. [tex] \frac{x}{3} [/tex]-2 = [tex] \frac{x}{2} [/tex]+ 3
1. [tex] \frac{2(x - 2)}{3} [/tex]- 10 = -5x
2. [tex] \frac{4(3 - x)}{5} [/tex]=3x - 6
3. [tex] \frac{8x}{9} [/tex]-[tex] \frac{1}{3} [/tex]= 2 -[tex] \frac{5x}{6} [/tex]
4. [tex] \frac{x}{3} [/tex]-2 = [tex] \frac{x}{2} [/tex]+ 3
2 Jawaban
-
1. Jawaban 26Loethfi
[tex]1. \frac{2(x - 2)}{3} - 10 = - 5x \\ \: \frac{2x - 4}{3} - 10 = - 5x \\ \: 2x - 4 - 10 \times 3 = - 5x \times 3 \\ 2x - 4 - 30 = - 15x \\ 2x + 15x = 30 + 4 \\ 17x = 34 \\ x = 2 [/tex]
[tex]2. \: \frac{4(3 - x)}{5} = 3x - 6 \\ \: \frac{12 - 4x}{5} = 3x - 6 \\ 12 - 4x = 5(3x - 6) \\ 12 - 4x = 15x - 30 \\ - 4x - 15x = - 30 - 12 \\ - 19x = - 42 \\ x = \frac{ - 42}{ - 19} \\ x = \frac{42}{19} [/tex]
[tex]3. \: \frac{8x}{9} - \frac{1}{3} = 2 - \frac{5x}{6} \\ kalikan \: kedua \: ruas \: persamaan \: dengan \: 18 \\ 16x - 6 = 36 - 15x \\ 16x + 15x = 36 + 6 \\ 31x = 42 \\ x = \frac{42}{31} [/tex]
[tex] 4. \: \frac{x}{3} - 2 = \frac{x}{2} + 3 \\ kalikan \: kedua \: ruas \: persamaan \: dengan \: 6 \\ 2x - 12 = 3x + 18 \\ 2x - 3x = 18 + 12 \\ - x = 30 \\ x = - 30[/tex]
maaf, kalau salah
semoga membantu -
Pertanyaan Lainnya