Solve for x, y: x - 2/3 + y + 1/6 = 2 x + 3/4 - 2y - 1/2 = 1 Solve for x: 4x +5

Question

Solve for x, y: x - 2/3 + y + 1/6 = 2 x + 3/4 - 2y - 1/2 = 1 Solve for x: 4x +5 > 2x + 9 Determine the values of x that the following inequality holds: 3x + 1/x > 7/2 Write the solution set with interval notation:(x - 1)(x - 2)(x - 3)> 0 Solve for x: 2x - 1/x + 1 lessthanorequalto 1 Find the amount of interest from an amount of $4000 invested today at 6% per year with interest compounded continuously; and semiannually for 5 years. Find the amount of simple Interest paid for a house: Price paid for house is $189, 600 with 6% interest for 15 years; 20 years; and 30 years. Find x. 8 = e^x - 1 Use the notation for sums to simplify the sum: sigma^5_i = 0 x^3 - 4 What are the lengths of the legs of an equilateral triangle if the height is 10 inches? How long will it take to pay off a debt of $880 if $25 is paid the first month, $27 the second month, and $29 the third month, etc.

Explanation / Answer

2. Consider the equations,

(x - 2)/3 + (y + 1) / 6 = 2 -------------------(1)

(x + 3)/4 - ( 2y -1)/2 = 1 ---------------------(2)

Simply the above equations, to get

2x - 4 + y + 1 =12 that is 2x + y = 15-------------------(3)

x + 3 - 4y + 2 = 4 that is x - 4y = - 1 -------------------(4)

Multiply equation (3) by 4, to get

8x + 4y = 60

x - 4y = -1

Add the above equations, to get

9x =59So, x = 59/9

Substitute x in equation (1), to get y = 17/9

Therefore, x = 59/9 and y = 17/9

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