Simplify and solve the following linear equations. ᴘʟᴢ ᴀɴsᴡᴇʀ ᴛʜɪs ǫᴜᴇsᴛɪᴏɴ ᴡɪᴛʜ ғᴜʟʟ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ
ᴀɴᴅ sᴇɴᴅ ᴛʜᴇ ᴘɪᴄ ᴏғ ᴛʜᴇ ᴀɴsᴡᴇʀ
Answers
Answer:
Step-by-step explanation:
Solution:
3\left(5z-7\right)-2\left(9z-11\right)=4\left(8z-13\right)-173(5z−7)−2(9z−11)=4(8z−13)−17
\Rightarrow\ 15z-21-18z+22=32z-52-17⇒ 15z−21−18z+22=32z−52−17
\Rightarrow\ -3z+1=32z-69⇒ −3z+1=32z−69
\Rightarrow\ -3z-32z=-69-1⇒ −3z−32z=−69−1
\Rightarrow\ -35z=-70⇒ −35z=−70
\Rightarrow\ x=\frac{-70}{-35}=2⇒ x=
−35
−70
=2
To check:
3\left(5z-7\right)-2\left(9z-11\right)=4\left(8z-13\right)-173(5z−7)−2(9z−11)=4(8z−13)−17
\Rightarrow\ 3\left(5\times2-7\right)-2\left(9\times2-11\right)=4\left(8\times2-13\right)-17⇒ 3(5×2−7)−2(9×2−11)=4(8×2−13)−17
\Rightarrow\ 3\left(10-7\right)-2\left(18-11\right)=4\left(16-13\right)-17⇒ 3(10−7)−2(18−11)=4(16−13)−17
\Rightarrow\ 3\times3-2\times7=4\times3-17⇒ 3×3−2×7=4×3−17
\Rightarrow\ 9-14=12-17⇒ 9−14=12−17
\Rightarrow\ -5=-5⇒ −5=−5
L.H.S. = R. H. S.
Therefore, it is correct.
Answer:
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