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Zarrin [17]
3 years ago
10

Zina solves a system of linear equations by elimination and finds a solution of (2, 2). One of the equations is a + b = 4. What

is the other equation?
Mathematics
2 answers:
kiruha [24]3 years ago
5 0
The answer is -a + b = 0

If she wants to solve <span>a system of linear equations by elimination and if one equation is unknown, one of the solutions in the unknown equation must be negative:
Known equation:       a + b = 4
Unknown equation: -a + b = ?

We know that a = 2 and be = 2, thus: 
</span>Unknown equation: -2 + 2 = 0
The general form of the equation is -a + b = 0

Let's check it out:
Known equation:       a + b = 4
Unknown equation: -a + b = 0
________________________
Add them up:            2b = 4
                                   b = 4/2 = 2

a + b = 4
a = 4 - b
a = 4 - 2
a = 2

So, the second equation is correct.
lana66690 [7]3 years ago
5 0

a+3b=8

Step-by-step explanation:

Option D

If you plot it on a graph the solution is 2, 2

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No

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Ratio of areas = (Ratio of diameters)²

Ratio of areas = 2² = 4

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The price of oranges went from $.90 per lb to $1.20in five years.find the rate of change of the price of oranges.
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The price of a pound of oranges went up by 6 cents per year.
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If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on
Nadya [2.5K]

Answer:

 \frac{dy}{dt}  = 102

Step-by-step explanation:

<u>step(i)</u>

Given function y = 3 x³ - 2 x  ... (i)

Differentiating equation (i) with respective to 'x'

    \frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)

Given x = -2

(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)

(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34

<u><em>Step(ii):-</em></u>

<u><em>we know that </em></u>

                     \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

Given    \frac{dx}{dt} = 3  and \frac{dy}{dx} = 34

                  \frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

substitute values    \frac{dx}{dt} = 3  and \frac{dy}{dx} = 34  

           ⇒        34 = \frac{\frac{dy}{dt} }{3 }

cross multiplication , we get

                      \frac{dy}{dt} = 34( 3 ) = 102

<u><em>Final answer</em></u>:-

 \frac{dy}{dt} = 34( 3 ) = 102

8 0
3 years ago
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