$$ \begin{array}{ll} ext { 2. } & 3 y-5=10 \ ext { 3. } & 4 a+1=-11 \ ext { 4. } & 6 b-3=9 \ ext { 5. } & 5 c+8=3\end{array} $$

Question

$$ \begin{array}{ll}	ext { 2. } & 3 y-5=10 \ 	ext { 3. } & 4 a+1=-11 \ 	ext { 4. } & 6 b-3=9 \ 	ext { 5. } & 5 c+8=3\end{array} $$

UpStudy AI · Accepted Answer

Sure, let's solve each of the given linear equations step by step.

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**2. $$ 3y - 5 = 10 $$**

**Step 1:** Add 5 to both sides to isolate the term with $$ y $$.
$$
3y - 5 + 5 = 10 + 5 \
3y = 15
$$

**Step 2:** Divide both sides by 3 to solve for $$ y $$.
$$
y = \frac{15}{3} \
y = 5
$$

**Solution:** $$ y = 5 $$

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**3. $$ 4a + 1 = -11 $$**

**Step 1:** Subtract 1 from both sides to isolate the term with $$ a $$.
$$
4a + 1 - 1 = -11 - 1 \
4a = -12
$$

**Step 2:** Divide both sides by 4 to solve for $$ a $$.
$$
a = \frac{-12}{4} \
a = -3
$$

**Solution:** $$ a = -3 $$

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**4. $$ 6b - 3 = 9 $$**

**Step 1:** Add 3 to both sides to isolate the term with $$ b $$.
$$
6b - 3 + 3 = 9 + 3 \
6b = 12
$$

**Step 2:** Divide both sides by 6 to solve for $$ b $$.
$$
b = \frac{12}{6} \
b = 2
$$

**Solution:** $$ b = 2 $$

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**5. $$ 5c + 8 = 3 $$**

**Step 1:** Subtract 8 from both sides to isolate the term with $$ c $$.
$$
5c + 8 - 8 = 3 - 8 \
5c = -5
$$

**Step 2:** Divide both sides by 5 to solve for $$ c $$.
$$
c = \frac{-5}{5} \
c = -1
$$

**Solution:** $$ c = -1 $$

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Feel free to reach out if you have any more questions or need further clarification!
Here are the solutions to the equations: 2. $$ y = 5 $$ 3. $$ a = -3 $$ 4. $$ b = 2 $$ 5. $$ c = -1 $$

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