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const2013 [10]
2 years ago
10

Solve the simultaneous equations​

Mathematics
1 answer:
nexus9112 [7]2 years ago
6 0

Answer:

Step-by-step explanation:

2x + 3y = 2

x = 2 - 3y /2

x + y = 0

substitute the value of x

\frac{2 \\- 3y}{2} + y = 0

2 - 3y + 2y = 0

2 = y

again,substitute the value of y

x = 2 - 3y / 2

=2 - 3*2 / 2

=2 - 6 / 2

=-2

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Kathy is fencing in her yard that has an area of 800 square feet. Her yard is in the shape of a rectangle where the length is 60
anygoal [31]

Answer:

The dimensions of the yard are W=20ft and L=40ft.

Step-by-step explanation:

Let be:

W: width of the yard.

L:length.

Now, we can write the equation of that relates length and width:

L=5W-60 (Equation #1)

The area of the yard can be expressed as (using equation #1 into #2):

Area=W*L=W*(5W-60) (Equation #2)

Since the Area of the yard is 800 ft^2, then equation #2 turns into:

800=W*(5W-60)

Now, we rearrange this equation:  

800=W*(5W-60)//800=5W^2-60W//5W^2-60W-800=0

We can divide the equation by 5 :

W^2-12W-160=0

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since (-20)*8=160 and -20+8=-12. The equation factorised looks like this:

(W-20)(W+8)=0

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

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7 0
3 years ago
20) -5(1 - 5x) +5(-8x - 2) = -4x – 8x
Alchen [17]

Answer:

x = -5

Step-by-step explanation:

-5(1 - 5x) +5(-8x - 2) = -4x – 8x

First lets simplify each side of the equation.

-5+25x-40x-10 = -4x-8x

Combine like terms

-15x-15=-12x

Add 15x to both sides (addition property of equality)

-15=3x

Divide each side by 3 (division property of equality)

x=-5

The answer is x = -5

5 0
3 years ago
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