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3 years ago

Find the solution to the following system of equations using the ADDITION method. 3x + 2y = 7 -3x + 3y = 8

Mathematics

1 answer:

valina [46]3 years ago

3 0

Answer:

x = 1/3 and y = 3

Step-by-step explanation:

It is given the system of equations

3x + 2y = 7 ----(1)

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

To find the solution

Add eq(1) and eq (2) we get,

3x + 2y = 7 ----(1)

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

0 + 5y = 15

y = 15/5 = 3

Substitute the value of y in eq(1)

3x + 2y = 7 ----(1)

3x + 2*3 = 7

3x + 6 = 7

3x = 7 - 6 = 1

x = 1/3

Therefore

x = 1/3 and y = 3

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Answer:

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Explanation:

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Where:

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4 years ago

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3 years ago

Is x - 8 a factor of the function f(x) = -2x3 + 17x2 - 64? Explain.

Oduvanchick [21]

we know that

If $(x-8)$ is a factor of the function $f(x)=-2x^{3}+17x^{2}-64$

then

$x=8$ is a root of the function f(x)

therefore

For $x=8$ the value of the function must be zero

Verify

Substitute the value of $x=8$ in the function

$f(8)=-2(8)^{3}+17(8)^{2}-64$

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$f(8)=-1,024+1,088-64$

$f(8)=-1,088+1,088$

$f(8)=0$

therefore

the answer is

Yes, $(x-8)$ is a factor of the function f(x)

7 0

3 years ago

Read 2 more answers

6+2[x+8]+3x+11+x help plzzzzz

Alex787 [66]

6+2(x+8)+3x+11+x
First you have to expand the brackets:
6+2x+16+3x+11+x
Now you group like terms (terms with the same or no variable):
2x+3x+x+11+16+6
And finally, combine like terms:
6x+33

Hope this helps :)

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3 years ago