1. evaluate 6.314 - 9.77.

3.456
-3.464
-3.456
-16.084

2. evaluate -5.118 - (-4.1).

-9.218
-1.018
1.018
9.218

3. find the value of x + y for x = 75.9 and y = 2.65.

10.24
102.4
78.55
79.55

4. find the value of -x + y for x = 75.9 and y = 2.65.

-78.55
78.55
73.25
-73.25

1. -3.456

2. -1.018

3. 78.55

4. -73.25

Step-by-step explanation:

In Algebra, the following notations have to be considered.

Algebra is a branch of mathematics that deals with the computation of numbers irrespective of the signs involved.

- × - = +

+ × - = -

- × + = -

+ × + = +

Therefore,

1. 6.314 - 9.77 = -3.456

2.  -5.118 - (-4.1) =  -5.118 + 4.1 = -1.018

3. x + y for x = 75.9 and y = 2.65.

This requires substitution

75.9 + 2.65 = 78.55

4. -x + y for x = 75.9 and y = 2.65

= -75.9 + 2.65

= -73.25

x= -3

step-by-step explanation:

step 1: simplify brackets

4 - x - 1 = 6

step 2: simpilfy

3 - x = 6

step 3: subtract 3 from both sides

-x = 6 - 3

step 4: simpilfy 6 - 3

-x = 3

step 5: multiply both sides by -1

x = -3

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction