SOLUTION: Solving Linear Systems: Use substitution to solve the linear system. Then check your solution. x - 2y = 9 1.5x + 0.5y = 6.5 I understand how to solve the first equation

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Question 131556: Solving Linear Systems:
Use substitution to solve the linear system. Then check your solution.
x - 2y = 9
1.5x + 0.5y = 6.5


I understand how to solve the first equation, but I don't understand how to substitute the x answer into the second equation to be able to find the value of y.

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!



I presume you took the first equation and did something like

All you have to do is replace x in the second equation with 2y + 9 and then solve for y.










Now that you know that , you can substitute that value into either of the equations so that you can solve for x.





So the solution set is the ordered pair (5,-2).

Check your answer by substitution, the ordered pair coordinates should make both equations true statements:
, True
, , True.

You can also graph both lines to see if they intersect at (5,-2)


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