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Viefleur [7K]
4 years ago
6

Solve using elimination. 9x + 3y = -6 9x + 7y = 10

Mathematics
1 answer:
iogann1982 [59]4 years ago
5 0

Step-by-step explanation:

<em>Given </em>

<em>9x </em><em>+</em><em> </em><em>3y </em><em>=</em><em> </em><em>-</em><em> </em><em>6</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>equation </em><em>1</em>

<em>9x </em><em>+</em><em> </em><em>7y </em><em>=</em><em> </em><em>1</em><em>0</em><em> </em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>equation </em><em>2</em>

<em>Now </em><em>subtracting </em><em>both</em><em> </em><em>equations </em><em>we </em><em>get</em>

<em>9x </em><em>+</em><em> </em><em>3y </em><em>=</em><em> </em><em>-</em><em>6</em>

<em>9x </em><em>+</em><em> </em><em>7y </em><em>=</em><em> </em><em>1</em><em>0</em>

<em><u>-</u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>-</u></em>

<em>-</em><em>4</em><em>y</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>6</em>

<em>Therefore </em><em>y </em><em>=</em><em> </em><em>4</em>

<em>Now </em><em>putting </em><em>y </em><em>=</em><em> </em><em>4</em><em> </em><em>in </em><em>equation </em><em>1</em>

<em>9</em><em> </em><em>*</em><em> </em><em>4</em><em> </em><em>+</em><em> </em><em>3</em><em>y </em><em>=</em><em> </em><em>-</em><em>6</em>

<em>3</em><em>6</em><em> </em><em>+</em><em> </em><em>3</em><em>y </em><em>=</em><em> </em><em>-</em><em>6</em>

<em>3y</em><em> </em><em>=</em><em> </em><em>-</em><em>6</em><em>-</em><em> </em><em>3</em><em>6</em>

<em>3y </em><em>=</em><em> </em><em>-</em><em>4</em><em>2</em>

<em>Therefore </em><em>y </em><em>=</em><em> </em><em>-</em><em>1</em><em>4</em>

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