Question

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Answer 1

The solution to the system is $(\frac{-16}{5},\frac{-64}{5})$

Step-by-step explanation:

Given equations are;

y+x= -11    Eqn 1

y=4x+5    Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$(4x+5)+x=-11\\4x+5+x=-11\\5x=-11-5\\5x=-16$

Dividing both sides by 5

$\frac{5x}{5}=\frac{-16}{5}\\\\x=\frac{-16}{5}$

Putting in Eqn 2;

$y=4(\frac{-16}{5})+5\\\\y=\frac{-64}{5}+5$

Taking LCM

$y=\frac{-64+25}{5}\\\\y=\frac{-39}{5}$

The solution to the system is $(\frac{-16}{5},\frac{-64}{5})$

Keywords: linear equation, substitution method

Learn more about substitution method at:

• brainly.com/question/5723059
• brainly.com/question/5639299

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