What is the best estimate for the sum of fractions 5//6 and 5/8

The answer is 25/24 or 1.041

Step-by-step explanation:

Given 5/6 and 5/8, you can't find the sum at that point. This means we will have to find a common denominator, which will be 24.

6 x 4 = 24 and 8 x 3 = 24

Doing this, you will have to multiply the numerator and denominator by the value the denominator needs to be multiplied by to get 24.

5/6 x 4/4 = 20/24 and 5/8 x 3/3 = 15/24

After getting these values, you can then add them.

20/24 + 15/24 = 25/24 or 1.041

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3