Question

Solve the System of Equations

Answer 1

Answer:

x = 10, y = -8  (10,8)

Step-by-step explanation:

Solve for x in the first equation

   x = (74/9) - (2y/9)

   replace all occurrences of x in 8x + 3y = 56  with  74/9 - 2y/9

   8 ( 74/9 - 27/9) + 3y =56

Simplify the left side

    (592 + 11y) / 9 = 56

Solve for y in the 2nd equation

  multiply both sides of thye equation by 9

  x= 74/9 - 2y/9

  592 + 11y = 56 x (9)

  Remove the parentheses x = 74/9 - 2y/9

                                              592 +11y = 56 x (9)

  Multiply 56 by 9

  x = 74/9 - 2y/9

  11 y = -88

Divide each term by 11 and simplify, x = 74/9 - (2(-8))/9     y = -8

Replace all occurrences of y in x = 74/9 - 2y/9 with -8

x= 74/9 - (2(-8)/9

x= 10

y= -8

Solution to the system of equations can be represented as a point (10,-8)