6+x=6 4x+1 = 2x+7 7x−7=x+1 10x−21 = 7x

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ScanSolve AI Tutor · Accepted Answer

Hapa kuna masuluhisho ya milinganyo uliyotuma:

Toa 6 kutoka pande zote mbili za mlinganyo.
$$ 6 + x - 6 = 6 - 6 $$ $$ x = 0 $$ Jibu: $\boxed{x = 0}$
2. Kutatua $4x + 1 = 2x + 7$ :
Toa $2x$ kutoka pande zote mbili za mlinganyo.
$$ 4x - 2x + 1 = 2x - 2x + 7 $$ $$ 2x + 1 = 7 $$
Toa 1 kutoka pande zote mbili.
$$ 2x + 1 - 1 = 7 - 1 $$ $$ 2x = 6 $$
Gawanya pande zote mbili kwa 2.
$$ \frac{2x}{2} = \frac{6}{2} $$ $$ x = 3 $$ Jibu: $\boxed{x = 3}$
3. Kutatua $7x - 7 = x + 1$ :
Toa $x$ kutoka pande zote mbili za mlinganyo.
$$ 7x - x - 7 = x - x + 1 $$ $$ 6x - 7 = 1 $$
Ongeza 7 kwa pande zote mbili.
$$ 6x - 7 + 7 = 1 + 7 $$ $$ 6x = 8 $$
Gawanya pande zote mbili kwa 6.
$$ \frac{6x}{6} = \frac{8}{6} $$ $$ x = \frac{4}{3} $$ Jibu: $\boxed{x = \frac{4}{3}}$
4. Kutatua $10x - 21 = 7x$ :
Toa $7x$ kutoka pande zote mbili za mlinganyo.
$$ 10x - 7x - 21 = 7x - 7x $$ $$ 3x - 21 = 0 $$
Ongeza 21 kwa pande zote mbili.
$$ 3x - 21 + 21 = 0 + 21 $$ $$ 3x = 21 $$

$$
\frac{3x}{3} = \frac{21}{3}
$$
$$
x = 7
$$
Jibu: $\boxed{x = 7}$

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