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il63 [147K]
3 years ago
8

Solve using substitution. x + 2y = 4 and –4x − 7y = –9

Mathematics
2 answers:
xxMikexx [17]3 years ago
4 0

Answer:

X=-10  y=7

Step-by-step explanation:

1) in first equation subtract 2y on both sides

X=4-2y

Substitute as "x" in the second equation:

-4(4-2y)-7y=-9

-16+8y-7y=-9

-16+y=-9

Y=7

Substitute y as 7 to get x)

X=4-2(7)

X=4-14

X=-10

Hope this helps

RSB [31]3 years ago
3 0

Step-by-step explanation:

Given

<em>x </em><em>+</em><em> </em><em>2y </em><em>=</em><em> </em><em>4</em>

<em>x </em><em>=</em><em> </em><em>4</em><em> </em><em>-</em><em> </em><em>2y</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>-</em><em>4</em><em>x</em><em> </em><em>-</em><em>7</em><em>y</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>9</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>equation </em><em>2</em>

<em>Putting </em><em>equation </em><em>1 </em><em>in </em><em>equation </em><em>2 </em>

<em>-</em><em> </em><em>4</em><em> </em><em>(</em><em> </em><em>4</em><em> </em><em>-</em><em> </em><em>2y) </em><em> </em><em>-</em><em> </em><em>7y </em><em>=</em><em> </em><em>-</em><em> </em><em>9</em>

<em>-</em><em>1</em><em>6</em><em> </em><em>+</em><em> </em><em>8y </em><em>-</em><em> </em><em>7y </em><em>=</em><em> </em><em>-</em><em>9</em>

<em>y </em><em>=</em><em> </em><em>-</em><em> </em><em>9</em><em> </em><em>+</em><em> </em><em>1</em><em>6</em>

<em>y </em><em>=</em><em> </em><em>7</em>

<em>Now </em>

<em>x </em><em>=</em><em> </em><em>4</em><em> </em><em>-</em><em> </em><em>2</em><em>*</em><em> </em><em>7</em><em> </em><em>=</em><em> </em><em>8</em><em> </em><em>-</em><em> </em><em>7</em><em> </em><em>=</em><em> </em><em>1</em><em> </em>

<em>hope </em><em>this </em><em>helps. </em>

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\rule{300}{5}

\huge\blue{\mid{\fbox{\tt{ANSWER:-\:}}\mid}}

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<h2><em>EXPLANATION :</em></h2><h2><em /></h2>

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\huge\blue{\mid{\fbox{\tt{ANSWER:-\:}}\mid}}

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