answersLogoWhite

0

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

User Avatar

Wiki User

15y ago

What else can I help you with?

Related Questions

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.


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.


How do you solve each system by substitution or addition 2y-x equals 3 and x equals 3y-5?

Add the two equations together. The x disappears. 2y - x = 3 + x = 3y - 5 ------------------------ 2y = 3y -2 Can you finish it from there?