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taurus [48]
3 years ago
13

What is the solution to 5a - 15 + 9a = 3a + 29?

Mathematics
2 answers:
grin007 [14]3 years ago
6 0
Hi there! Thanks for asking a question here on Brainly. 

Step 1: We need to simplify both sides of the equation.

⚫ <span><span><span><span>5a</span>−15</span>+<span>9a</span></span>=<span><span>3a</span>+29
</span></span>⚫ <span><span><span><span><span>5a</span>+</span>−15</span>+<span>9a</span></span>=<span><span>3a</span>+29
</span></span>⚫ <span><span><span>(<span><span>5a</span>+<span>9a</span></span>)</span>+<span>(<span>−15</span>)</span></span>=<span><span>3a</span>+29
</span></span>     
Combine like terms

⚫ <span><span><span>14a </span>+<span>15 </span></span>= <span><span>3a </span>+ 29
</span></span>⚫ <span><span><span>14a </span>− 15 </span>= <span><span>3a </span>+ 29

</span></span>Step 2: Subtract 3a from both sides.

⚫<span><span><span><span>14a </span>− 15 </span>− <span>3a </span></span>= <span><span><span>3a </span>+ 29 </span>− <span>3a
</span></span></span>⚫<span><span><span>11a </span>− 15 </span>= 29

</span>Step 3: Add 15 to both sides.

⚫ <span><span><span><span>11a </span>− 15 </span>+ 15 </span>= <span>29 + 15
</span></span>⚫ <span><span>11a </span>= 44

</span>Step 4: Divide both sides by 11.

⚫ 11a11= 4411

a = 4

<span>Hope that helps! ★ <span>If you have further questions about this question or need more help, feel free to comment below or leave me a PM. -UnicornFudge aka Nadia </span></span>
elena55 [62]3 years ago
3 0
1:Simplify 5a-15+9a to 14a−15
<span>14a-15=3a+29

</span>2:Add <span>15</span> to both sides
14a=3a+29+15

3:Simplify <span>3a+29+15</span> to <span>3a+44</span>
<span>14a=3a+4<span>4

</span></span>4:Subtract <span>3a</span> from both sides
<span><span>14a−3a=44</span>

5:Simplify 14a<span>−3a</span> to 11a
<span>11a=44

6:Divide both sides by 11
<span><span>a=44/11
</span><span>
7:Simplify 44/11 to 4
a=4</span></span></span></span>
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