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To solve the system given below using substitution it is best to start by solving the second equation for y?
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∙ 11y ago
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∙ 11y ago
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If you were to solve the following system by substitution what would be the best variable to solve for and from what equation 2x plus 6y equals 9 3x-12y equals 15?
2x + 6y = 93x - 12y = 15Chose the second equation because you can simplify it.3x - 12y = 15 divide by 3 to both sidesx - 4y = 5 add 4y to both sidesx = 4y + 5Replace 4y + 5 for x to the first equation.2x + 6y = 92(4y + 5) + 6y = 98y + 10 + 6y = 914y = -1y = -1/14x = 4y + 5x = 4(-1/14) + 5x = -2/7 + 5x = -2/7 + 35/7x = 33/7
What must be true about the lines of a system of equation that has not one solution but infinitely many solutions?
There must be fewer independent equation than there are variables. An equation in not independent if it is a linear combination of the others.
What is the solution to this system of equations y equals -3x-2?
-1
A system of linear equations with an infinite number of solutions?
This can happen in different ways: a) More variables than equations. For instance, a single equation with two variables (such as x + y = 15), two equations with three variables, two equations with four variables, etc. b) To of the equations describe the same line, plane, or hyper-plane - this, in turn, will result in that you "really" have less equations than it seems. For example: y = 2x + 3 2y = 4x + 6 The second equation is simply the first equation multiplied by 2.
Solve the following system of equations using substitutions 2x plus 3y equals -1 and 5x-2y equals -12?
First get y in terms of x: 5x-2y=-12 ----- -2y=-12-5x ------ y=6+(5/2)x Sub into other equation: 2x+3y=-1 ---- 2x+3(6+(5/2)x)=-1 Solving for x gets: x= -2 Sub into other equation: 5x-2y= -12 --- 5(-2)-2y= -12 --- y=1 So x= -2, and y= 1
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 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 the system of equation by substitution x plus 2y-2 3x plus 4y6?
If you mean x+2y = -2 and 3x+4y = 6 then by solving the simultaneous equations by substitution x = 10 and y = -6
How do you find system of linear equation in two variable?
By elimination and substitution
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.
What is the first step in solving the following system of equations by substitution?
The first step is to show the equations which have not been shown.
Which is most likely the first step in solving a system of nonlinear equations by substitution APEX?
Isolating a variable in one of the equations.
How would use solve the system of equation x plus 3y equals 23 by using substitution?
You'd need another equation to sub in
What are three ways of solving a system of linear equations?
I'll assume the simplified case of two equations, with two variables each. Some of the methods can be extended to more complicated cases.Substitution: Solve for one variable in one equation, replace it in the other equation.Setting two quantities equal: For example, if 5x + 3y = 10, and 5x - 2y = 0, solve each equation for "5x", and set the two equal, with the result: 10 - 3y = 2y.Addition/subtraction: Add or subtract one equation (or a multiple of one equation) to the other. In the previous example, if you subtract the second equation from the first, you get an equation that doesn't contain x.In any of these cases, after solving for a single variable, replace in one of the original equations to get the other variable.
Describe the solution to the system of equations 5x - y equals 8 and 25x-5y equals 32?
Substitution method: from first equation y = 5x - 8. In the second equation this gives 25x - 5(5x - 8) = 32 ie 25x - 25x + 40 = 32 ie 40 = 32 which is not possible, so the system has no solution. Multiplication method: first equation times 5 gives 25x - 5y = 40, but second equation gives 32 as the value of the identical expression. No solution.
2x-3y equals -2 4x plus y equals 24 use substitution method and work the system of equation?
how do you use the substitution method for this problem 2x-3y=-2 4x+y=24
What are you trying to find when solving a system of linear equations?
You are trying to find a set of values such that, if those values are substituted for the variables, every equation in the system is true.
