Solve the system of equations If there is no solution enter

Solve the system of equations. (If there is no solution, enter NO SOLUTION.) {x^2 - 6x + y^2 = -7 2x + y = 7 (x, y) = () (smaller x-value) (x, y) = () (larger x-value)

Solution

x^2 - 6x + y^2 =-7 ---(1)

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

from 2 : y = 7-2x

So, substitue in equation 1: x^2 -6x +(7-2x)^2 =-7

x^2 -6x +4x^2 -28x +49 = -7

5x^2 -34x + 56 =0

solve using quadratice formula:

we get x= 2.8 , 4

Substutute to get y : y = 7 -2x = 7 -2*2.8 = 1.4

y = 7 -2*4 = -1

Smaller soul. set ( 2.8 ,1.4)

larger solution set ( 4,-1

 Solve the system of equations. (If there is no solution, enter NO SOLUTION.) {x^2 - 6x + y^2 = -7 2x + y = 7 (x, y) = () (smaller x-value) (x, y) = () (larger

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