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(3 pe 4 • x - 3 pe 4) • 4 pe 7 + 1 pe 4 = 1

Răspuns :

(3/4 • x - 3/4) • 4/7 + 1/4 = 1
3/4•(x -1) • 4/7  = 1-1/4
3/7
(x- 1)  = 3/4
x-1=3/4:3/7
x-1=3/4 ×7/3
x-1=7/4
x=7/4+1
x=11/4


dupa desfacerea parantezelor:
[tex] \frac{3}{4} * x * \frac{4}{7}- \frac{3}{4} * \frac{4}{7}= \frac{4}{4}- \frac{1}{4} [/tex];
[tex] \frac{3}{7}* x- \frac{3}{7}= \frac{3}{4} [/tex];
[tex]\frac{3}{7}* x=\frac{3}{4}+ \frac{3}{7}[/tex];
[tex]\frac{3}{7}* x=\frac{21}{28}+ \frac{12}{28}[/tex];
[tex]\frac{3}{7}* x= \frac{33}{28}[/tex];
[tex] x=\frac{33}{28}:\frac{3}{7}=\frac{33}{28}*\frac{7}{3}= \frac{11}{4} [/tex];

Răspuns: [tex] x= \frac{11}{4} [/tex]