Use cramer's rule to solve the following system of equations.

5x + 3y = 7
4x + 5y = 3

a. x = 2, y = —1
b. x = 4, y = 1
c. x = --2, y = —1
d. x = 2, y = 5

The amount of money, in dollars, in an account after t years is given by a = 1000(1.03)^t. the initial deposit into the account was $_^a0 and the interest rate was _a1% per year. only enter numbers in the boxes. do not include any commas or decimal points^t. the initial deposit into the account was $__^a0 and the interest rate is % per year.

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.

Gabrielle's age is two times mikhail's age. the sum of their ages is 84. what is mikhail's age?