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How do you solve the system of equations 5x-2y equals 4 and 3x plus y equals 9 using multplication with the addition method?
5x-2y = 4
2(3x+y = 9)
Multiply all terms in the second equation by 2:
5x-2y = 4
6x+2y = 18
Add the equations together:
11x = 22
Divide both sides by 11 to find the value of x:
x = 2
Substitute the value of x into the original equations to find the value of y:
Therefore: x = 2 and y = 3
What else can I help you with?
What is 6a - 5b equals 9 using addition method?
You need two equations to use the addition method.
Solve this system of equations using the addition method x plus y equals 6?
When talking about a "system of equations", you would normally expect to have two or more equations. It is quite common to have as many equations as you have variables, so in this case you should have two equations.
What is the addition method called sometimes?
The addition method is sometimes referred to as the "elimination method." This technique is used in solving systems of linear equations by adding or subtracting the equations to eliminate one variable, making it easier to solve for the other variable.
How do I solve whole number equations that contain addition or subtraction?
The answer depends on the equation: there is no single method which can be used for all equations.
The addition method for x plus y equals 8 and -x plus 2y equals 7?
Add the two equations: x + y - x + 2y = 8 + 7 ie 3y = 15 so y = 5 making x = 3.
What is 6a - 5b equals 9 using addition method?
You need two equations to use the addition method.
How do you Solve this system of equations using the addition method 6a - 5b equals 9 2a plus 5b equals 23?
the answer
Solve this system of equations using the addition method x plus y equals 6?
When talking about a "system of equations", you would normally expect to have two or more equations. It is quite common to have as many equations as you have variables, so in this case you should have two equations.
What is the addition method called sometimes?
The addition method is sometimes referred to as the "elimination method." This technique is used in solving systems of linear equations by adding or subtracting the equations to eliminate one variable, making it easier to solve for the other variable.
How do I solve whole number equations that contain addition or subtraction?
The answer depends on the equation: there is no single method which can be used for all equations.
How do you solve x plus y equals 8 and 2x minus y equals 5 using the addition method?
If: x+y = 8 and 2x-y = 5 Then by adding the equations together: 3x = 13 or x = 13/3 By substitution into the original equations: x = 13/3 and y = 11/3
Solve this equation using addition method 4a subtract 5b equals 7 and 4a plus 5b equals 17?
Add the equations: 4a + 4a - 5b + 5b = 7 + 17 ie 8a = 24 a = 3, so b = 1
The addition method for x plus y equals 8 and -x plus 2y equals 7?
Add the two equations: x + y - x + 2y = 8 + 7 ie 3y = 15 so y = 5 making x = 3.
Solve this equation using addition method x plus y equals 8 and -x plus 2y equals 7?
The idea here is to add everything to the left side of both equations together, and everything on the right side. So, you get: x + y + 8 - x = 8 + 7 After simplifying, in this case you eliminate one variable, which is the purpose of this method. After solving for this variable, you can replace its value in any of the original equations to get the other variable.
Use the substitution method to solve the system of equations Choose the correct ordered pair 2x plus 3y equals 13 x equals 2?
(2,3)
What is the answer to this simultaneous equations 5x plus 2y equals 11 4x - 3y equals 18?
To solve the simultaneous equations (5x + 2y = 11) and (4x - 3y = 18), we can use the substitution or elimination method. By manipulating the equations, we find that (x = 4) and (y = -3). Thus, the solution to the simultaneous equations is (x = 4) and (y = -3).
Can you use addition or subtraction to solve any system?
Yes, addition or subtraction can be used to solve a system of equations, particularly in the method known as elimination. By adding or subtracting equations, you can eliminate one of the variables, making it easier to solve for the other variable. This method is effective when the coefficients of one variable are opposites or can be made to be opposites through multiplication. However, it is not the only method; substitution and graphing are also common approaches.
