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bulgar [2K]
3 years ago
12

Please solve this!!!!!

Mathematics
1 answer:
vfiekz [6]3 years ago
4 0

Answer:

(1, 2 )

Step-by-step explanation:

Given the 2 equations

3x + y = 5 → (1)

5x - 4y = - 3 → (2)

Rearrange (1) expressing y in terms of x by subtracting 3x from both sides

y = 5 - 3x → (3)

Substitute y = 5 - 3x into (2)

5x - 4(5 - 3x) = - 3 ← distribute and simplify left side

5x - 20 + 12x = - 3

17x - 20 = - 3 ( add 20 to both sides )

17x = 17 ( divide both sides by 17 )

x = 1

Substitute x = 1 into (3) for corresponding value of y

y = 5 - 3(1) = 5 - 3 = 2

Solution is (1, 2 )

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Simplify the following polynomial expression. (5x^4 - 9x^3 + 7x - 1) + (-8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x - 1)( 2x - 7)
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Answer: 5x^{4}-37x^{3}-6x^{2} +41x-6


Step-by-step explanation:

1. You must apply the Distributive property.  You need to remember the product property of exponents: If you multiply powers with the same base, you must add the exponents. Them you have:

=5x^{4}-9x^{3}+7x-1-8x^{4}+4x^{2}-3x+2-(8x^{4}+28x^{3}+10x^{2}-35x-2x+7)\\=5x^{4}-9x^{3}+7x-1-8x^{4}+4x^{2}-3x+2-8x^{4}-28x^{3}-10x^{2}+35x+2x-7

2. Now, you must add the like terms. Then, you obtain the following result:

=5x^{4}-37x^{3}-6x^{2} +41x-6



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