Question

$7y + 4x + 5x + 4x + y = 8x5y - 6xx \times$
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Answer 1

Answer:

 You use substitution when one of the equations is written into one of these forms: 

         y = a x + b or x = c y + d.

 

Example:  x + 4y = -1

                 y = 3x -10

 

Step 1:  Check if one of the variables x or y is already isolated in one of the equations, meaning: is the y variable already written into y = a x + b form or is x written into x = cy + d form?

         In this example y is isolated and is written into y = a x + b form

à y = 3x -10, where here a=3 and b=-1

        

 

Step 2:  Substitute the expression (y = 3x -10) for the variable (y) in the second equation.

         x + 4y = -1

         x + (3x -10) = -1

 

Step 3:  Once you have your new equation you can now solve for the unknown variable (in this case “x”)

         x + 4(3x -10) = -1

           x + 12x -40 = -1

                 13x -40 = -1

                       13x = 40 -1

                  13x/13 = 39/13

                           x = 3

 

Step 4:  Now that you know what x equals 3, substitute the number into one of the original equations.

         y = 3x -10

         y = 3(3) -10

         y = 9 -10

         y = -1

Step-by-step explanation:

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