Question
James needs to solve the system of equations using elimination.
-3x + 5y = 15 and 2x – 5y = -15
What variable should James should solve first
- x
- y
- Both
- None
Hint:
The Linear Combination Method, aka The Addition Method , aka The Elimination Method. Add (or subtract) a multiple of one equation to (or from) the other equation, in such a way that either the x-terms or the y -terms cancel out. Then solve for x (or y, whichever's left) and substitute back to get the other coordinate.
The correct answer is: y
3x + 5y = 15 (1)
2x – 5y = -15 (2)
For solving by method of elimination we need to check the coeffecients of x and y in both the equations and see which can be easily eliminated.
Here coeffecient of y is similar in both equations,
Thus, James should solve variable y first.
2x – 5y = -15 (2)
For solving by method of elimination we need to check the coeffecients of x and y in both the equations and see which can be easily eliminated.
Here coeffecient of y is similar in both equations,
Thus, James should solve variable y first.
Related Questions to study
Solve the system of equations using elimination.
3x + 2y = -13 and -3x+y= 25
Solve the system of equations using elimination.
3x + 2y = -13 and -3x+y= 25
3x – y =12
3x + 5y = -6
3x – y =12
3x + 5y = -6
-5x – 2y = 9
-2x + 3y = 15
-5x – 2y = 9
-2x + 3y = 15
4x – 5y = -5
4x – 4y = 0
4x – 5y = -5
4x – 4y = 0
4x – 4y = 4
x – 3y = 5
4x – 4y = 4
x – 3y = 5
x – 5y = 20
x – y = 4
x – 5y = 20
x – y = 4
-x – y = -5
-3x + 3y = -3
-x – y = -5
-3x + 3y = -3
3y = 15
-3x – 5y = -10
3y = 15
-3x – 5y = -10
-4x – 5y = -1
-2x – 5y = 7
-4x – 5y = -1
-2x – 5y = 7
-2x – 5y = 10
-x – y = -1
-2x – 5y = 10
-x – y = -1
-5x + y = -3
5x – 4y = 12
We can solve the equation in two variable using elimination method, substitution method and cross multiplication method. In elimination method we can find the solution of the two variables by cancelling one variable by adding, multiplying or subtracting both the equations from which we will get the value of one variable. After getting the value of one variable we can put the value of that variable in equation and get the value of another variable.
-5x + y = -3
5x – 4y = 12
We can solve the equation in two variable using elimination method, substitution method and cross multiplication method. In elimination method we can find the solution of the two variables by cancelling one variable by adding, multiplying or subtracting both the equations from which we will get the value of one variable. After getting the value of one variable we can put the value of that variable in equation and get the value of another variable.
4x - 4y = 16
2x + y = -1
We can solve the equation in two variable using elimination method, substitution method and cross multiplication method. In elimination method we can find the solution of the two variables by cancelling one variable by adding, multiplying or subtracting both the equations from which we will get the value of one variable. After getting the value of one variable we can put the value of that variable in equation and get the value of another variable.
4x - 4y = 16
2x + y = -1
We can solve the equation in two variable using elimination method, substitution method and cross multiplication method. In elimination method we can find the solution of the two variables by cancelling one variable by adding, multiplying or subtracting both the equations from which we will get the value of one variable. After getting the value of one variable we can put the value of that variable in equation and get the value of another variable.
2x + y = -5
-4x + y = -5
We can solve the equation in two variable using elimination method, substitution method and cross multiplication method. In elimination method we can find the solution of the two variables by cancelling one variable by adding, multiplying or subtracting both the equations from which we will get the value of one variable. After getting the value of one variable we can put the value of that variable in equation and get the value of another variable.
2x + y = -5
-4x + y = -5
We can solve the equation in two variable using elimination method, substitution method and cross multiplication method. In elimination method we can find the solution of the two variables by cancelling one variable by adding, multiplying or subtracting both the equations from which we will get the value of one variable. After getting the value of one variable we can put the value of that variable in equation and get the value of another variable.
3x + 4y = 2
-4x + 3y = -11
We can solve the equation in two variable using elimination method, substitution method and cross multiplication method. In elimination method we can find the solution of the two variables by cancelling one variable by adding, multiplying or subtracting both the equations from which we will get the value of one variable. After getting the value of one variable we can put the value of that variable in equation and get the value of another variable.
3x + 4y = 2
-4x + 3y = -11
We can solve the equation in two variable using elimination method, substitution method and cross multiplication method. In elimination method we can find the solution of the two variables by cancelling one variable by adding, multiplying or subtracting both the equations from which we will get the value of one variable. After getting the value of one variable we can put the value of that variable in equation and get the value of another variable.
-2x + y = 11
x = -3
We can solve the equation in two variable using elimination method, substitution method and cross multiplication method. In substitution method value of one variable is substituted an equation in order to get the value of that variable. After finding the value of one variable we can put that value in one equation to find the value of another variable.
-2x + y = 11
x = -3
We can solve the equation in two variable using elimination method, substitution method and cross multiplication method. In substitution method value of one variable is substituted an equation in order to get the value of that variable. After finding the value of one variable we can put that value in one equation to find the value of another variable.
