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Deffense [45]
3 years ago
8

What is the solution to the following system of equations 2x+3y=3 and -3x-2y=8

Mathematics
1 answer:
SpyIntel [72]3 years ago
3 0
<span>2x+3y=3
</span><span>-3x-2y=8

3y=3-2x
-2y = 8+3x

y = 1 - 2x/3
y = -4 - 3x/2

</span>1 - 2x/3 =  -4 - 3x/2

5 = - 3x/2 + 2x/3

5 = -9x/6 + 4x/6

5 = -5x/6

x = 5 * 6/-5

x = -6

No plug it in.

<span>2x+3y=3 ; x = -6

-12 + 3y = 3

3y=3+12

3y=15

y = 5

So </span>x = -6 and y = 5
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If f(x)=2x^2+1,what is f(x) when x=3
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Answer:

f(3) =19

Step-by-step explanation:

f(x)=2x^2+1

Let x = 3

f(3) = 2(3)^2 +1

Exponents first

        =2(9) +1

Then multiply

         =18+1

         =19

4 0
3 years ago
How do solve y=5x-8 y=-6x+3 by elimination
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4 0
2 years ago
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A playground is rectangular with a length of 78 miles. If the area of the playground is 820 square miles, what is its width? Inp
Rudiy27

Answer:

10.5, 10\frac{1}{2}, or \frac{21}{2}

Step-by-step explanation:

To solve, you can use a variable (x) to represent the width.

The equation for area is A=L×W

So the Area is 820 and the length is 78.

820= 78w

Isolate the variable to solve.

w=10.5128....

If you round, it will be 10.5

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8 0
2 years ago
Which best explains 1/3 divided by 5
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To answer this question, make a setup like this;

1         5
--   ÷   --
3          1

now change it to multiplication.

1         1         1
--   *   --    =  -----
<span>3         5          15
</span>
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3 0
3 years ago
If​ f(x) is defined as​ follows,
Phantasy [73]

Answer:  The required values are

f(-2) = 120, f(0) = 64  and  f(1) = 84.

Step-by-step explanation:  We are given the following function f(x) :

f(x)=16x^2+4x+64~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to find the values of the following :

(a)~f(-2),\\\\(b)~f(0),\\\\(c)~f(1).

To find the values of the function at the given points, we need to substitute the corresponding values of x in equation (i).

Substituting x = -2 in equation (i), we get

f(-2)=16\times(-2)^2+4\times(-2)+64=64-8+64=120.

Substituting x = 0 in equation (i), we get

f(0)=16\times0^2+4\times0+64=0+0+64=64.

Substituting x = 1 in equation (i), we get

f(1)=16\times1^2+4\times1+64=16+4+64=84.

Thus, the required values are

f(-2) = 120, f(0) = 64  and  f(1) = 84.

5 0
3 years ago
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