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What is 16X-2Y equals 74 and 2X-2Y equals 4 using the substitution method of system of equations?
1. 16x - 2y = 74
2. 2x-2y = 4
We have a "-2y" in both 1. and 2. so if we subtract 2. from 1. this will cancel out the "y's" and leave us with only one variable (x).
So, 1. minus 2. gives:
3. 14x = 70
x = 70/4
x = 5
Substituting x =5 back into 1. gives:
(16 * 5) - 2y = 74
Thus
80 - 2y = 74
2y = 80 - 74
2y = 6
y = 3
Now to be absolutely certain we have solved this correctly let's put our values for both x and y back into 2. to check that the values equate. Doing so gives us:
(2 * 5) - (2 * 3) = 4
10 - 6 = 4
That is correct so we know that the answer is:
x = 5 and y = 3.
What else can I help you with?
Use the substitution method to solve the system of equations Choose the correct ordered pair?
2x+7y=29 x=37-8y
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.
Can substitution in math be used to find the exact solution of a system of equations?
yes
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.
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.
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
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(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
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
How do you decide whether to use elimination or subsitution to solve a three-variable system?
There is no simple answer. Sometimes, the nature of one of the equations lends itself to the substitution method but at other times, elimination is better. If they are non-linear equations, and there is an easy substitution then that is the best approach. With linear equations, using the inverse matrix is the fastest method.
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 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).
Use the substitution method to solve the system of equations Choose the correct ordered pair?
2x+7y=29 x=37-8y
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.?
When using the substitution method to solve a nonlinear system of equations, the first step is to isolate one variable in one of the equations, if possible. This allows you to express that variable in terms of the other variable. You can then substitute this expression into the other equation, transforming the system into a single equation with one variable, which can be solved more easily. Once you find the value of one variable, you can substitute it back to find the other variable.
7x - 5y equals 76 4x plus y equals 55?
To solve this system of equations, we can use the method of substitution or elimination. Let's use the substitution method. From the second equation, we can express y as y = 55 - 4x. Substitute this expression for y in the first equation: 7x - 5(55 - 4x) = 76. Simplify this equation to solve for x. Then, substitute the value of x back into one of the original equations to find the value of y.
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.
How do you slove systems of two equations?
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