SOLUTION: The worksheet says:
Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no solution or infinitely many solu
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-> SOLUTION: The worksheet says:
Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no solution or infinitely many solu
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Question 8520: The worksheet says:
Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no solution or infinitely many solutions.
The problem:
3x-y=4
2x-3y=-9 Answer by prince_abubu(198) (Show Source):
You can put this solution on YOUR website! I would play around with the first equation first because it's already got a variable by itself (without a number attached to it by multiplication).
<---- choose this because one of the variables is already free-standing.
<----- Move the 3x to the right side. (I trust that you know that the sign of the terms change when you move them from one side of the equation to another by addition or subtraction).
<---- Multiply EVERYTHING by -1 so that the y by itself is positive.
<---- Switch the positions of the two terms just because it looks better this way.
-------------------------------------------------- <--- Take the other equation. Replace the y with the (3x - 4). This is the substitution move.
<---- Used distributive property
<--- Combined like terms by subtraction
<---- Moved 12 to the right side, combine with the -9 to make the -21.
<---- Divided by -7 on both sides.
Now, you've got x = 3. You can go back to ANY two of your original equations and plug in this 3 into the x and solve for y. Notice that we already tweaked the first equation to get it to be in y= form - the . The y is already solved for. All you have to do is plug in the 3 and you'll get the y:
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