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Type the ordered pair that is the solution to these equations x = 5y and 2x - 3y = 14

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1 Answer

Equation 1:  x = 5y

Equation 2: 2x - 3y = 14

2x - 3y = 14              Equation 2

2(5y) -3y = 14           Substitute value of x in equation 1 into equation 2

10y - 3y = 14            Simplify

7y = 14                     Simplify

y = 2                         Divide each side by 2

x = 5y                       Equation 1

x = 5(2)                    Substitute the value of y

x = 10                       Simplify

The ordered pair is (10,2)