Mathematics: Solve the system by finding the determinants and using Cramer s Rule: 2x - y = 4 3x + y = 1

Solve the system by finding the determinants and

dondre54

08.02.2022

(1, - 2)

Step-by-step explanation:

2x - y = 4

3x + y = 1

A = $\left[\begin{array}{cc}2&-1\\3&1\end{array}\right]$ = 2(1) - 3( - 1) =2 + 3 = 5

$A_{x}$ = $\left[\begin{array}{cc}4&-1\\1&1\end{array}\right]$ = 4(1) - 1(- 1) = 4 + 1 = 5

$A_{y}$ = $\left[\begin{array}{cc}2&4\\3&1\end{array}\right]$ = 2(1) - 4(3) = 2 - 12 = - 10

x = $\frac{A_{x} }{A}$ = 1

y = $\frac{A_{y} }{A}$ = - 2

(1, - 2)

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Harambe659

24.03.2021

63.64 feet

Step-by-step explanation:

Let the distance from the cliff to the boat be represented by x. Since the two triangles are similar, then comparing the triangles we have;

$\frac{5.5}{35}$ = $\frac{10}{x}$

cross multiply to have

35 * 10 = 5.5 * x

350 = 5.5 x

x = $\frac{350}{5.5}$

= 63.6364

x = 63.64 feet

The boat is 63.64 feet to the cliff.

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