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Solve this system of equations using substitution 2x plus 6y equals 24 and 5x minus 2y equals 9?
Wiki User
∙ 13y ago
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
Wiki User
∙ 13y ago
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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.
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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.
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(2,3)
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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 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.
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).
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What is the advantage that the method od substitution has over the graphing method of solving system of equations?
Substitution is a way to solve without graphing, and sometimes there are equations that are impossible or very difficult to graph that are easier to just substitute. Mostly though, it is a way to solve if you have no calculator or cannot use one (for a test or worksheet).
