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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

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