All GRE Subject Test: Math Resources
Example Questions
Example Question #1 : Solving Systems Of Equations
Solve the system of equations.
The easiest way to solve this question is to use substitution. Since
you 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 #2 : Solving 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 #1 : 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 of
into the second equation.
Combine like terms.
Add
to 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 : Systems Of Equations
Solve the system of equations.
To cancel out the
terms, multiply by
Then add:
______________________
Plug the value of
which is into one of the equations to get the value of .
is the correct answer.
Example Question #1 : 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 subtracting
from both sides of the equation.
To get the value of
, substitute the value of in one of the equations.
is the correct answer.
Example Question #4 : 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 adding
to both sides of the equation.
Add
to 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 #3 : Solving Systems Of Equations
Solve the systems of equations.
In order to eliminate the
terms, first multiply the first equation by
Then multiply the second equation by
This will now eliminate the
terms when added together.
+
_________________________
Divide both sides by
Now substitute the value of
which is to get the value of in one of the the two original equations.
Add
to both sides of the equation.
Divide both sides by
is the correct answer.
Example Question #1 : Systems Of Equations
Solve this system of equations:
Set both equations equal to each other and solve.
Add
to both sides of the equation.
Add
to both sides of the equation.
Divide both sides by 8.
Plug the value of the
variable into one of the equations to get the value of
is the correct answer for this system of equations.
Example Question #481 : Gre Subject Test: Math
Solve this system of equations:
To solve this system of equations, multiply the first equation by
.
Now add the two equations together to remove the
terms.
+
_____________________________
Divide both sides by
.
Plug the value of the
variable, which is into one of the equations.
Subtract
from both sides of the equation.
Divide both sides by
is the correct answer for this system of equations.
Example Question #2 : Solving Systems Of Equations
Solve this system of equations:
To solve this system of equations:
Multiply the first equation by
and the second equation by .
Add these two equations; this will remove the
terms.
+
___________________
To get the value of
, plug the value of , which is into one of the equations.
Divide both sides by
is the correct answer for this system of equations.
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All GRE Subject Test: Math Resources
