Solve the system algebraically by setting the equations ( y= x+2 y= -3x+10 ) equal to each other. Step by step please

x = 2

Step-by-step explanation:

Set the equations equal to each other

x + 2 = -3x + 10

+ 3x     + 3x            Add 3x to both sides

4x + 2 = 10

    - 2    - 2             Subtract 2 from both sides

4x = 8                     Divide both sides by 4

x = 2

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answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.