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IceJOKER [234]
3 years ago
10

Y = -3x+4 and y= 1/2x-3

Mathematics
1 answer:
Papessa [141]3 years ago
8 0

Answer:

{x = 2  , y = -2

Step-by-step explanation:

Solve the following system:

{y = 4 - 3 x | (equation 1)

{y = x/2 - 3 | (equation 2)

Express the system in standard form:

{3 x + y = 4 | (equation 1)

{-x/2 + y = -3 | (equation 2)

Add 1/6 × (equation 1) to equation 2:

{3 x + y = 4 | (equation 1)

{0 x+(7 y)/6 = (-7)/3 | (equation 2)

Multiply equation 2 by 6/7:

{3 x + y = 4 | (equation 1)

{0 x+y = -2 | (equation 2)

Subtract equation 2 from equation 1:

{3 x+0 y = 6 | (equation 1)

{0 x+y = -2 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 2 | (equation 1)

{0 x+y = -2 | (equation 2)

Collect results:

Answer:  {x = 2  , y = -2


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Who could help me please and thank you
kondor19780726 [428]

Answer:

"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"

Step-by-step explanation:

We have the expression:

-\frac{x^3}{6} - 10 + x

First, what does that expression represents?

As al the powers of x are positive numbers, we can see that this is a polynomial, and the largest power is 3, so this is a polynomial of degree 3, also called a cubic polynomial.

How many terms are there?

The terms are the things separated by + or - symbols, is easy to see that there are 3 terms.

What is the constant term?

The constant term is the term where the variable, x, does not appear, here the constant term is: -10

What is the leading coefficient?

The leading coefficient is the coefficient that multiplies the term with the largest power of x, in this case, we can rewrite:

-\frac{x^3}{6}  -10 + x = (\frac{-1}{6})*x^3 - 10 + x

the leading coefficient is:

(-1/6)

There is a part of the statement that I can't read, i suppose that there says:

"leading degree"

this is just the largest power of x that appears in the polynomial, in this case, is 3.

Then the complete statement is:

"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"

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Solve for x. −3/4(x+2)=6
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X= -10        I hoped this helped you answer your question!
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