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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
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
When is the substitution method a better method than graphing for solving a system of linear equation?
The substitution method is often better than graphing for solving a system of linear equations when the equations are more complex or when the coefficients are not easily manageable for graphing. It is particularly advantageous when at least one equation can be easily solved for one variable, allowing for straightforward substitution. Additionally, substitution is more precise for finding exact solutions, especially when dealing with fractions or irrational numbers, where graphing may yield less accurate results. Finally, when the system has no clear intersection point or consists of more than two equations, substitution can simplify the process significantly.
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.
Which equation shows the correct substitution for the following system?
To provide the correct substitution for a given system of equations, I would need the specific equations from that system. Typically, you would solve one of the equations for one variable and then substitute that expression into the other equation. If you can provide the equations, I can help you determine the correct substitution.
How do you know that substitution gives the answer to a system of questions?
Substitution solves a system of equations by isolating one variable and substituting its value into the other equations, which simplifies the problem. This method ensures that the relationships defined by the equations are maintained, leading to a consistent solution. Once you find values for all variables, you can verify them by substituting back into the original equations to confirm they satisfy all conditions. Thus, substitution not only provides answers but also confirms their validity.
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
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.
