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Solve this system of equations using substitution 2x plus 6y equals 24 and 5x minus 2y equals 9?
2x+6y = 24
5x-2y = 9
Divide all terms in the top equation by 2:
x+3y = 12 => x = 12-3y
Substitute x = 12-3y into the bottom equation:
5(12-3y)-2y = 9
60-15y-2y = 9
-15y-2y = 9-60
-17y = -51
y = 3
Substitute the value of y into the original equations to find the value of x:
Answer: x = 3 and y = 3
What else can I help you with?
To solve a three variable system of equations you can use a combination of the elimination and substitution methods?
True. To solve a three variable system of equations you can use a combination of the elimination and substitution methods.
Translate this word problem as a system of equations and then solve using substitution?
A system of equations is two or more equations that share at least one variable. Once you have determined your equations, solve for one of the variables and substitute in that solution to the other equation.
Solve by substitution y equals -4x - 7 and y equals 3x?
The easiest way to solve this system of equations is to solve for a variable in one of the equations. In the second equation, y = 3x. This can be substituted into the first equation: y = -4x - 7; 3x = = -4x - 7; 7x = -7; x = -1. Since we have determined that x equals -1, we can then substitute -1 into either equation to find our corresponding y-value. Thus: y = 3x; y = 3(-1) y = -3. Thus, the solution to this system of equations is (-1, -3).
Use the substitution method to solve the system of equations Choose the correct ordered pair?
2x+7y=29 x=37-8y
What is usually the first step in solving a system of nonlinear equations by substitution?
The first step is usually to solve one of the equations for one of the variables.Once you have done this, you can replace the right side of this equation for the variable, in one of the other equations.
To solve a three variable system of equations you can use a combination of the elimination and substitution methods?
True. To solve a three variable system of equations you can use a combination of the elimination and substitution methods.
Use the substitution method to solve the system of equations Enter your answer as an ordered pair?
Use the substitution method to solve the system of equations. Enter your answer as an ordered pair.y = 2x + 5 x = 1
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)
When using the substitution method to solve a nonlinear system of equations you should first see if you can one variable in one of the equations in the system?
isolate
Translate this word problem as a system of equations and then solve using substitution?
A system of equations is two or more equations that share at least one variable. Once you have determined your equations, solve for one of the variables and substitute in that solution to the other equation.
What is indicated by the occurrence of a false statement such as 0 equals 1 when you solve a system of two linear equations in two variables using substitution?
In that instance, it means that the lines never touch.
How do use substitution when solving system of equations?
You use substitution when you can solve for one variable in terms of the others. By substituting, you remove one variable from the equation, which can then be solved. Once you solve for one variable, you can use substitution to find the other.
How do you solve system of equations by using the substitution method?
To solve a system of equations using the substitution method, first, solve one of the equations for one variable in terms of the other. Then, substitute this expression into the other equation to eliminate that variable. This will result in a single equation with one variable, which can be solved for its value. Finally, substitute this value back into the original equation to find the value of the other variable.
What is usually the first step in solving a system of equation by substitution?
The first step is to solve one of the equations for one of the variables. This is then substituted into the other equation or equations.
How do you solve system of eqaution by subsitution?
To solve a system of equations by substitution, first solve one of the equations for one variable in terms of the other. Then, substitute this expression into the other equation. This will give you an equation with only one variable, which you can solve. Finally, substitute back to find the value of the other variable.
Solve by substitution y equals -4x - 7 and y equals 3x?
The easiest way to solve this system of equations is to solve for a variable in one of the equations. In the second equation, y = 3x. This can be substituted into the first equation: y = -4x - 7; 3x = = -4x - 7; 7x = -7; x = -1. Since we have determined that x equals -1, we can then substitute -1 into either equation to find our corresponding y-value. Thus: y = 3x; y = 3(-1) y = -3. Thus, the solution to this system of equations is (-1, -3).
How do you work out the point of intersection without a graph?
You use algebra and solve the system(s) of equations using techniques such as elimination or substitution.
