Solve the following system of equations algebraically:
y = x^2+7x−4
y = −x−4

Answers

Answer 1

Answer: y = x² + 7x - 4
y = -x - 4

x² + 7x - 4 = -x - 4
+ x + x
x² + 8x - 4 = -4
+ 4 + 4
x² + 8x = 0
x(x) + x(8) = 0
x(x + 8) = 0
x = 0 or x + 8 = 0
   - 8 - 8
x = -8

  y = -x - 4
  y = -0 - 4
  y = 0 - 4
  y = -4
(x, y) = (0, -4)
or
y = -x - 4
y = -(-8) - 4
y = 8 - 4
y = 4
(x, y) = (-8, 4)

The solutions are (0, -4) and (8, -4).

Answer 2

Answer: y=x²+7x-4
y=-x-4

We can solve this system of equation by equalization method.
x²+7x-4=-x-4
x²+7x+x-4+4=0
x²+8x=0
x(x+8)=0
we have two linear equations :
x=0 ⇒ x=0 ⇒ y=-x-4=-0-4=-4
(x+8)=0 ⇒ x=-8 ⇒ y=-x-4=-(-8)-4=8-4=4

We have two solutions:
solution₁: x=0; y=-4
solution₂: x=-8; y=4

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Answers

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Find the value of Z in the following equation: 8Z = 64. A. 512
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Answers

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after 1 second the ball is 76 feet in the air: after 2 seconds it is 144 feet in the air. Find the height of the function. h(x)= ?

Answers

General equation for height, h
h = ut + 0.5gt^2

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Answers

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What is the solution to the equation 1.6m − 4.8 = −1.6m?m = 0.5

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m = 1.5

m = 3

Answers

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What is the equation ?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

1.6m-4.8=-1.6m

Subtract 1.6m to both sides to get

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Divide both sides by -3.2to get

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m = 1.5 is the solution to the equation.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true. For equations having one unknown, raised to a single power, two fundamental rules of algebra, including the additive property and the multiplicative property, are used to determine its solutions.

To learn more about An equation, refer

brainly.com/question/14107099

#SPJ2

see attached picture for answre

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