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Ivenika [448]
3 years ago
9

Solve by the substitution method 2x + 9y=41 - 4x + y=13

Mathematics
1 answer:
melisa1 [442]3 years ago
6 0

Answer:

x=-2, y=5. (-2, 5).

Step-by-step explanation:

2x+9y=41

-4x+y=13

---------------

2(2x+9y)=2(41)

-4x+y=13

-----------------------

4x+18y=82

-4x+y=13

------------------

19y=95

y=95/19

y=5

2x+9(5)=41

2x+45=41

2x=41-45

2x=-4

x=-4/2=-2

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\text {Hey! Let's Solve this Equation!}

\text {\underline {The First Step is to do Keep Change Change (KCC)}}

\text {Keep: 4.25}\\\text {Change: - into +}\\\text {Change: 2.5x into -2.5x}

\text {\underline {The Next Step is to Flip the Equation}}

\text {Before: 4.25+-2.5x=14.75}\\\text {After: -2.5x+4.25=14.75}

\text {\underline {The Next Step is to Subtract 4.25}}

\text {-2.5x+4.25-4.25=14.75-4.25=10.5}\\\text {-2.5x=10.5}

\text {\underline {The Final Step is to Divide -2.5}}

\text {-2.5x/-2.5=10.5/-2.5}

\text {Remember that Dividing a Positive to a Negative will Equal a Negative.}

\text {Your Answer Would Be:}

\fbox {x=-4.2}

\text {Best of Luck!}

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N76 [4]
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4 years ago
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