Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

Match the systems of equations with their solution sets.

Match The Systems Of Equations With Their Solution Sets class=

Sagot :

The Solution set 1 , 2 , 3, 4 matches with equations 4 , 1 , 2 , 3

What are System of Equations ?

The system of equations are the set of equations that have common solution.

The set of equations given are

y+5 = x² - 3x

2x +y = 1

On subtracting equation 1 from 2

5 - 2x = x² -3x -1

x² -x -6 = 0

(x-3)(x +2) = 0

x = 3 , -2

At x = 3 , -2; y = -5 , 5

The set of equation are

y -17 = x²-9x

-x +y =1

-17 +x = x² -9x -1

x²-10x +16 = 0

x² - 8x -2x +16 = 0

(x -8) (x-2) = 0

at x = 2 ,8 ; y = 3 ,9

The set of equation is

y +12 = x²+x

x +y =3

12 - x = x²+x -3

x²+2x -15=0

x² +5x -3x -15 = 0

x(x+5) -3(x+5) = 0

(x-3)(x+5) = 0

x = 3 ,-5

At x = 3 , -5 , y = 0,8

The set of equation is

y-15 = -x² +4x

x +y = 1

-15 -x = -x²+4x -1

x²-5x -14 = 0

x² -7x +2x -14 = 0

x(x-7) +2(x-7) = 0

(x +2) (x-7) = 0

x = -2 , 7

at x = -2 , 7 ; y = 3 ,-6

Therefore the Solution set 1 , 2 , 3, 4 matches with equations 4 , 1 , 2 , 3

To know more about System of Equation

https://brainly.com/question/12895249

#SPJ1

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.