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1 year ago

s) Use Cramer’s rule to solve the system below, and state the condition at which solution exists. ax+by = 1 cx+dy =−1

Engineering

1 answer:

Zanzabum1 year ago

4 0

(a) The solution to the system of equation is, x = (d + b)/(ad - cb) and y = (-a - c)/(ad - cb).

(b) The condition at which the solution exists is, ad - cb ≠ 0.

<h3>Solving the system of equation with Cramer's rule</h3>

ax + by = 1

cx + dy = -1

D = [a b]

[c d]

D = ad - cb

Dx = [1 b]

[-1 d]

Dx = d + b

Dy = [a 1]

[c - 1]

Dy = -a - c

x = Dx/D

x = (d + b)/(ad - cb)

y = Dy/D

y = (-a - c)/(ad - cb)

Cramer's rule applies to the case where the coefficient determinant is nonzero.

Thus, D ≠ 0 (ad - cb ≠ 0).

Learn more about Cramer's rule here: brainly.com/question/10445102

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rearrange the equation to solve for k

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$T - T_m= (T_0-T_m)e^{kt}$

$\frac{T - T_m}{(T_0-T_m)}= e^{kt}$

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$\frac{ln(\frac{T - T_m}{T_0-T_m})}{t}=k$

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