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Vesnalui [34]
3 years ago
15

Can anybody help me please

Mathematics
2 answers:
Burka [1]3 years ago
7 0

(7,1) is the correct answer

JulsSmile [24]3 years ago
7 0

Answer:

yes, no, and no

Step-by-step explanation:

What you do is you just plug what is in the parenthesis into the equation. So you have 2x+5y=19. You will take the (7, 1) and plug the 7 into the x and the 1 into the y to get 2(7)+5(1)=19. 14+5=19. 19=19.

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expensive movies.

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Solve x^2 + 5x + 6= 0
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x = -3 or x = -2

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let a = (a1, a2) and b = (b1, b2) and c = (c1,c2) be three non zero vectors. if a1b2 - a2b1 is not equal to 0. then show three a
Ksenya-84 [330]

Consider the contrapositive of the statement you want to prove.

The contrapositive of the logical statement

<em>p</em> ⇒ <em>q</em>

is

¬<em>q</em> ⇒ ¬<em>p</em>

In this case, the contrapositive claims that

"If there are no scalars <em>α</em> and <em>β</em> such that <em>c</em> = <em>α</em><em>a</em> + <em>β</em><em>b</em>, then <em>a₁b₂</em> - <em>a₂b₁</em> = 0."

The first equation is captured by a system of linear equations,

\begin{cases}c_1 = \alpha a_1 + \beta b_1\\ c_2 = \alpha a_2 + \beta b_2\end{cases}

or in matrix form,

\begin{pmatrix}c_1\\c_2\end{pmatrix} = \begin{pmatrix}a_1&b_1\\a_2&b_2\end{pmatrix}\begin{pmatrix}\alpha\\\beta\end{pmatrix}

If this system has no solution, then the coefficient matrix on the right side must be singular and its determinant would be

\begin{vmatrix}a_1&b_1\\a_2&b_2\end{vmatrix} = a_1b_2-a_2b_1 = 0

and this is what we wanted to prove. QED

3 0
3 years ago
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