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To solve the system of equations given by ( x + 7y = 39 ) and ( 3x - 2y = 2 ) using substitution, we can first solve the first equation for ( x ): ( x = 39 - 7y ). Substituting this into the second equation gives ( 3(39 - 7y) - 2y = 2 ). Simplifying this results in ( 117 - 21y - 2y = 2 ), or ( 117 - 23y = 2 ), leading to ( 23y = 115 ) and ( y = 5 ). Plugging ( y = 5 ) back into ( x = 39 - 7(5) ) gives ( x = 4 ). Thus, the solution in ordered pair form is ( (4, 5) ).

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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


What is the ordered pair for 3x 5y equals 21 and -9x 4y equals -6?

To find the ordered pair for the equations (3x + 5y = 21) and (-9x + 4y = -6), we can solve this system of equations. By using substitution or elimination methods, we find that (x = 3) and (y = 2). Thus, the ordered pair is ((3, 2)).


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.


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.

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Translate this word problem as a system of equations and then solve using substitution?

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What is the ordered pair for 3x 5y equals 21 and -9x 4y equals -6?

To find the ordered pair for the equations (3x + 5y = 21) and (-9x + 4y = -6), we can solve this system of equations. By using substitution or elimination methods, we find that (x = 3) and (y = 2). Thus, the ordered pair is ((3, 2)).


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.