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solve by -2x+6=5x-1 graphing

Solve By 2x65x1 Graphing class=

Sagot :

endlessmijot

Answer:

x=1

Step-by-step explanation:

Algebraically

1. Move all variables to one side.

       -2x+6=5x-1

      +2x      +2x

        6=7x-1

2. Move constants to the opposite side of the variables.

        6=7x-1

        +1     +1

        7=7x

3. Cancel out the coeffients of variables.

        7=7x

       /7  /7

        1=x

Graphically

1. Establish your equations to graph.

    -2x+6=5x-1 means y=-2x+6 and y=5x-1

2. Make a table. (I suggest getting some points around the origin like -2, -1, 0, 1, 2 just to get a feel for what directions each graph is going)

   x    y=-2x+6    y        x     y=5x-1     y

   -2   -2(-2)+6   10       -2    5(-2)-1   -11

   -1    -2(-1)+6     8       -1     5(-1)-1     -6

   0    -2(0)+6     6       0     5(0)-1      -1

    1    -2(1)+6      4        1     5(1)-1       4

    2   -2(2)+6     2        2    5(2)-1      9

3. Plot your points and connect them with their respective equation.

4. Find the intersection.

The point at which the lines cross is where the answer for x is. Note in the graph it will be at (1,4) where 1 is the x-value in question.

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