Diketahui A=3x+5y dan B=4x-2y tentukan nilai nilai berikut dinyatakan dalam x dan y a.A+B b.A-B c.2A+B d.A-½B e.4A+3B f.3A -1½B

Bab Aljabar
Sekolah Menengah Pertama Kelas VIII

a) A + B
= 3x+5y + 4x-2y
= 3x+4x + 5y - 2y
= 7x + 3y

b) A - B
= 3x+5y - 4x-2y
= 3x+4x - 5y-2y
= 7x - 3y

c) 2A + B
= 2(3x+5y) + 4x-2y
= 6x+5y + 4x-2y
= 6x+4x + 5y-2y
= 10x + 3y

d) A - 1/2B
= 3x+5y - 1/2(4x-2y)
= 3x + 5y - 2x - 2y
= 3x + 2x - 5y - 2y
= 5x - 3y

e) 4A + 3B
= 4(3x+5y) + 3(4x-2y)
= 12x+5y + 12x-2y
= 12x + 12x + 5y - 2y
= 24x + 3y

f) 3A - 1 1/2 B
= 3(3x+5y) - 1 1/2 (4x-2y)
= 9x + 5y - 6x-2y
= 9x + 6x - 5y - 2y
= 15x - 3y

Semoga membantu ^^