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Nana76 [90]
2 years ago
9

Substitution method6x-7y=5,3x+y=-1​

Mathematics
1 answer:
uranmaximum [27]2 years ago
6 0

Answer:

x =  -  \frac{2}{27}

y =  -  \frac{4}{5}

Step-by-step explanation:

Lets call

6x - 7y = 5

equation 1

3x + y =  - 1

equation 2

using equation 2, we would make y the subject of the formula as it would be easier

y =  - 1 - 3x

This would now be called our equation 3

Now the next step is to substitute equation 3 in equation 1

6x - (7( - 1 - 3x)) = 5

6x - ( - 7 - 21x) = 5

6x + 7 + 21x = 5

27x = 5 - 7

27x =  - 2

Divide both sides by 27\frac{27x}{27}  =   -  \frac{2}{27}

x =  \frac{ - 2}{27}

Substitute the value of x in equation 2

3( \frac{ - 2}{27} ) + y =  - 1

-  \frac{ 2}{9}  + y =  - 1

y =  - 1 +  \frac{2}{9}

y =  -  \frac{ 8}{10}

y =   -  \frac{4}{5}

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<h3>What is an absolute value function?</h3>

An absolute value function is a function such that,

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For the given example,

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Learn more about the absolute value function here:

brainly.com/question/10664936

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