Question

Which represents the solution(s) of the system of equations, y = -x2 + 6x + 16 and y = - 4x + 37? Determine the solution set
algebraically
O (325)
(-3, 49)
(3,25) and (79)
(-3, 49) and (-7, 65)

Answer 1

Answer:

The answer is c

Step-by-step explanation:

(7,9) (3,25)

Answer 2

The solution sets of the given system of equations are (3,25) and (7,9).

Given equations are :

$y=-x^{2} +6x+16$........(1)

$y=-4x+37$...........(2)

What is an equation?

An equation is a statement that equates to two expressions.

So, for the solutions of the  given system of equations

$-x^{2} +6x+16=-4x+37$

$x^{2} -10x+21=0$

$x^{2} -3x-7x+21=0\\x(x-3)-7(x-3)=0$

$(x-3)(x-7)=0$

So, $x=3$

$x=7$

Corresponding y value for x=3

$y=-4*3+37\\y=25$

Corresponding y value for x=7

$y=-4*7+37$

$y=9$

Hence, the solution sets of the given system of equations are (3,25) and (7,9).

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