All GRE Subject Test: Math Resources
Example Questions
Example Question #121 :Linear Algebra
Solve the system of equations.
The easiest way to solve this question is to use substitution. Sinceyou can replace y for 7x-2 in the other equation.
You should have
.
Distribute the 2 to the parentheses.
Add 4 to both sides of the equation.
Subtract 6x from both sides.
Divide by 8 to get x.
Put 1 back in to either equation for x to solve for y.
Example Question #1 :Systems Of Equations
Solve the system of equations.
First task is to solve at least one of the equations for y.
Move -3x to the other side by adding 3x to both sides.
Divide by 2 to all the terms in the equation.
Plug this value for y into the other equation.
Distribute the 2.
Add 3x to both sides.
Subtract 19 from both sides of the equation.
Divide by 6.
Plug this back in for x in either equation.
Example Question #3 :Solving Systems Of Equations
Solve each system of equations.
To solve this system of equations, you are given the value of.
The second equation is
So you put the value ofinto the second equation.
Combine like terms.
Addto both sides of the equation.
Divide both sides by.
Substitute the value of x in one of the equations to get the value of y.
is the correct answer.
Example Question #1 :Solving Systems Of Equations
Solve the system of equations.
To cancel out theterms, multiplyby
Then add:
______________________
Plug the value ofwhich isinto one of the equations to get the value of.
is the correct answer.
Example Question #5 :Solving Systems Of Equations
Solve each system of equations.
Using the substitution method, set the two systems of equations equal to each other.
Isolate the variable by subtractingfrom both sides of the equation.
To get the value of, substitute the value ofin one of the equations.
is the correct answer.
Example Question #1 :Solving Systems Of Equations
Solve each system of equations.
Using the substitution method, set both systems of equations equal to each other.
Isolate the variable by addingto both sides of the equation.
Addto both sides.
Divide both sides by 3.
To get the value of y, substitute the value of x in one of the equations.
is the correct answer.
Example Question #7 :Solving Systems Of Equations
Solve the systems of equations.
In order to eliminate theterms, first multiply the first equation by
Then multiply the second equation by
This will now eliminate theterms when added together.
+
_________________________
Divide both sides by
Now substitute the value ofwhich isto get the value of in one of the the two original equations.
Addto both sides of the equation.
Divide both sides by
is the correct answer.
Example Question #1 :Solving Systems Of Equations
Solve this system of equations:
Set both equations equal to each other and solve.
Addto both sides of the equation.
Addto both sides of the equation.
Divide both sides by 8.
Plug the value of thevariable into one of the equations to get the value of
is the correct answer for this system of equations.
Example Question #9 :Solving Systems Of Equations
Solve this system of equations:
To solve this system of equations, multiply the first equation by.
Now add the two equations together to remove theterms.
+
_____________________________
Divide both sides by.
Plug the value of thevariable, which isinto one of the equations.
Subtractfrom both sides of the equation.
Divide both sides by
is the correct answer for this system of equations.
Example Question #10 :Solving Systems Of Equations
Solve this system of equations:
To solve this system of equations:
Multiply the first equation byand the second equation by.
Add these two equations; this will remove theterms.
+
___________________
To get the value of, plug the value of, which isinto one of the equations.
Divide both sides by
is the correct answer for this system of equations.
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