SOLUTION: use the method of substitution to solve the system of linear equations 3x-y=5 7x-2y=12 the solution is _______(order pair)

Algebra ->  -> SOLUTION: use the method of substitution to solve the system of linear equations 3x-y=5 7x-2y=12 the solution is _______(order pair)      Log On

 Ad: Mathway solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Question 656022: use the method of substitution to solve the system of linear equations 3x-y=5 7x-2y=12 the solution is _______(order pair)Found 2 solutions by MathDazed, MathTherapy:Answer by MathDazed(34)   (Show Source): You can put this solution on YOUR website!3x - y = 5........(i) 7x - 2y = 12......(ii) To use the substitution method, you will have to solve for one of the variables. I chose to use equation (i) and solve for y. 3x - y + y = 5 + y 3x = 5 + y 3x - 5 = 5 - 5 + y 3x - 5 = y.........(iii) Substitute equation (iii) into equation (ii) 7x - 2(3x-5) = 12 7x - 6x + 10 = 12 x + 10 - 10 = 12 - 10 x = 2 Substitute x = 2 into (iii) 3(2) - 5 = y 6 - 5 = y y = 1 Solution (2,1) Answer by MathTherapy(1817)   (Show Source): You can put this solution on YOUR website! use the method of substitution to solve the system of linear equations 3x-y=5 7x-2y=12 the solution is _______(order pair) For the substitution method, one of the equations has to be solve for one of the two variables. Since y in eq (i) has a coefficient of - 1, we'll solve for y in that equation. 3x - y = 5 3x - 5 = y Substitute 3x - 5 for y in eq (ii). This will allow you to determine the value of x. Knowing the value of x you can then determine the value of y. You can then substitute the values of x and y into each equation to see if the values make the equations true. If they do, then that's it!! Send comments and “thank-yous” to “D” at MathMadEzy@aol.com