Question

Write three more equations with integer coefficients and the variable x that have the same solution set {7, -1}. Explain.

Answer 1

The given values of abscissa and ordinate in the given are that which when substituted to the values of x and y in the equation will make the equation true. This means that the left and right-hand side of the equation will be equal. The established equations should have a basis of,

        x + y = c

The equations are,

    x + y = 6

Substituting x = 7 and y = -1,

    7 + (-1) = 6 ; 6 = 6

 The other two equations will be,

    2x + y = 13  and,

    x + 2y = 5

 It is to be noted that countless of equations can be made with the given solution so long as the equation is valid.