Find 12 of 2017 Simplify 5x52x22 Solve 5x 3y 13 2x 5y

Find 1/2 % of 2017. _______ Simplify: (-5x^5)(-2x^-2)^2 ______ Solve: {5x + 3y = 13 2x - 5y = -1 _______ Solve: |2x-3| = 5 ______ Solve: x/5 - 5/x = 11/5x _______ Simplify: Squareroot 9x^2 + 144y^2/3 ______ Solve: 2^x = 1/8 ______ Find all x for which 3-2x

Solution

1. 0.5% of 2017=( 0.5/100)×2017= 10085/1000= 10.085

2.(-5x⁵)(-2x²)²= (-5×2²)×(x⁵×x^-4) = -20x ;here use the addition law and multiplication law of indices

3. Using simultaneous equations multiply the first equation by 2 and the second one by 5 to make the coefficients of x same in both, then the equations become 10x-6y=26 and 10x-25y=-5 now subtract equation 2 from 1 it will be 31y=31 thus y=1 and now substitute the value of y in any equation and the value of x = 2

4. This is a modulus problem where in the first case only the positive value of (2x-3) will be equated to 5 as given in the question thus we get x=8/2= 4

In the second case we take -(2x-3)= 5

This gives x=-1 thus the value of x lies in the range -1 to 4

5. Take the l.c.m of the denominator and that will be 5x now we get a quadrat equation x²- 36= 0

Thus x= +6 or -6