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3 years ago

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Solve the equation (5×+7)1/5=(8-6×)1/5

1 answer:

AURORKA [14]3 years ago

5 0

<span><span>(<span><span>5x</span>+7</span>)</span><span>(<span>1/5</span>)</span></span>=<span><span>(<span>8−<span>6x</span></span>)</span><span>(<span>1/5</span><span>)
</span></span></span>Simplify both sides. In order to do this you need to distribute 1/5 in each expression.
<span><span><span>(<span>5x</span>)</span><span>(<span>1/5</span>)</span></span>+<span><span>(7)</span><span>(<span>1/5</span>)</span></span></span>=<span><span><span>(8)</span><span>(<span>1/5</span>)</span></span>+<span><span>(<span>−<span>6x</span></span>)</span><span>(<span>1/5</span><span>)
</span></span></span></span><span>x+<span>7/5</span></span>=<span><span>8/5</span>+<span><span><span>−6/</span>5</span><span>x
</span></span></span><span>x+<span>7/5</span></span>=<span><span><span><span>−6/</span>5</span>x</span>+<span>8/<span>5
Now you need to add (-6/5)x to both sides. This leaves you with
</span></span></span><span><span><span>(5/11)</span>x</span>+<span>7/5</span></span>=<span>8/<span>5
Now subtract 7/5 from both sides.
</span></span><span><span>(5/11)</span>x</span>=<span>1/<span>5
Divide both sides by 5/11
x=1/11</span></span>

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