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olganol [36]
3 years ago
11

How can i solve for x & y -14 - 3i = 2 x + yi

Mathematics
1 answer:
Step2247 [10]3 years ago
6 0
Solving for x

Since x<span> is on the right hand side of the </span>equation<span> switch the sides so it is on the left hand side of the </span>equation<span>.
</span><span>2x+yi=−14−3i
</span>
Since <span>yi</span><span> does not contain the </span>variable<span> to solve for move it to the right-hand side of the </span>equation<span> by subtracting </span><span>yi</span><span> from both sides.
</span><span>2x=−yi−14−3i

</span>Divide<span> each </span>term<span> in the </span>equation<span> by </span><span>2.

</span><span>x=−<span><span>yi/</span>2</span>−7−<span><span>3i/</span>2



Solving for y

</span></span>Since y<span> is on the right hand side of the </span>equation<span> switch the sides so it is on the left hand side of the </span>equation<span>.
</span><span>2x+yi=−14−3i

</span>Since <span>2x</span><span> does not contain the </span>variable<span> to solve for move it to the right hand side of the </span>equation<span> by subtracting </span><span>2x</span><span> from both sides.
</span><span>yi=−2x−14−3i

</span>Divide<span> each </span>term<span> in the </span>equation<span> by </span><span>i.

</span><span>y=2xi+14i−3


</span>x=−yi/2−7−3i/2
y=2xi+14i−3
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