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3 years ago

What are some ways you can create a new system of equations based on a given system?

Mathematics

1 answer:

docker41 [41]3 years ago

3 0

By adding/ subtraction systems

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Multiply: (x+y)by (x+y) a+b by a^2-b^2 (a+5) by (a^2-2a-3) (a^2-ab+b^3) by (a+b)

Law Incorporation [45]

Answer:

Multiply:

$(x+y)by (x+y)$

$: \implies(x + y)(x + y)$

$: \implies \: x(x + y) + y(x + y)$

$: \implies {x}^{2} + xy + xy + {y}^{2}$

$: \implies{x}^{2} + 2xy + {y}^{2}$

Multiply:

$a+b \: by \: a^2-b^2$

$: \implies( {a}^{2} + {b}^{2} ) \times (a + b)$

$: \implies \: {a}^{2} (a + b) - {b}^{2} (a + b)$

$: \implies \: {a}^{3} + {a}^{2} b - {ab}^{2} - {b}^{3}$

Multiply:

$(a+5) by (a^2-2a-3)$

$: \implies{(a + 5) \times ( {a}^{2} - 2a - 3) }$

$: \implies \: a({a}^{2} - 2a - 3) + 5( {a}^{2} - 2a - 3)$

$: \implies(a \times {a}^{2} - a \times 2a - a \times 3) + (5 \times {a}^{2} - 5 \times 2a - 5 \times 3)$

$: \implies{a}^{3} - {2a}^{2} - 3a + 5 {a}^{2} - 10a - 15$

$: \implies{ {a}^{3} + {3a}^{2} - 13a - 15}$

Multiply:

$(a^2-ab+b^3) by (a+b)$

$: \implies{(a + b) \times ( {a}^{2} - ab + {b}^{3} )}$

$: \implies \: a( {a}^{2} - ab + {b}^{3}) + b( {a}^{2} - ab + {b}^{3} )$

$: \implies {a}^{3} - {a}^{2} b + a {b}^{3} + {a^2b} - {ab}^{2} + {b}^{4}$

$: \implies{ {a}^{3}+ab^3 - ab^2+ {b}^{4} }$

Step-by-step explanation:

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7 0

2 years ago

brian bought X apples and some oranges. Brian bought 3 more oranges than apples. find the toal number of fruit brian bought in t

Sophie [7]

We can make an equation through that information.
X+3+3
Brian bought 3 more of the oranges and apples, and that will get you
X+3+3
=
X+6

8 0

3 years ago

Pls help me with this question

Montano1993 [528]

Answer:

1. is 1 2. is 3

Step-by-step explanation:

hope this helped

please give me brainliest

3 0

3 years ago

Read 2 more answers

Choose the statement below that correctly compares the numbers 2.34 and 2.43.

HACTEHA [7]

Answer:

the answer is 2.34<2.43

Step-by-step explanation:

it is because 2.34 is less than 2.43

< means less than

> means greater than

= means equal to

8 0

3 years ago

Find the sale price to the nearest cent .. $40 sweater; 33%discount

fiasKO [112]

Answer:

$26.80

Step-by-step explanation:

(I don't know exactly how other people were taught to do percentages, but this is how I was taught and I find it the easiest for me.)

You are going to subtract your percentage number by 100.

100 - 33 = 67

This will give you your multiplier so you can then get your answer but you have to turn it into a decimal.

0.67 x 40 = 26.80

8 0

3 years ago