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When solving by the substitution method what happens when one variable cancels out?
That's exactly the purpose of the substitution method ... to get an equation with one less variable. When you have it, you solve it for the variable that's left.
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.
Solve by substitution method y equals -4x - 7 y equals 3x?
y= -4x-7 y=3x 3x= -4x-7 3x+4x=7 7x=7 x=1
How do you Solve the system of equations using the substitution method Enter the answer as an ordered pair x - 3y equals -23 5x plus 6y equals 74?
From Equation 1: x = 3y - 23Substitute for x in equation 2: 5(3y - 23) + 6y = 74ie 15y - 115 + 6y = 74ie 21y - 115 = 74Add 115 to each side: 21y = 189Divide each side by 21: y = 9x = 3y - 23 ie 27 - 23 ie 4x = 4, y = 9
Use the substitution method to solve the system of equations Enter your answer as an ordered pair 3x plus y equals 10 y equals x - 2?
3x+y = 10 y = x-2 Substitute the value of y into the top equation: 3x+x-2 = 10 => 4x = 10+2 => 4x = 12 => x = 3 Substitute the value of x into the original equations to find the value of y: So: x = 3 and y = 1
How can you solve a linear equation?
by elimination,substitution or through the matrix method.
Solve the equation by substitution method x-y equals 5?
x+y=5
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
Solve using substitution x minus y equals 2 and x plus y equals -4?
-2
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.
When solving by the substitution method what happens when one variable cancels out?
That's exactly the purpose of the substitution method ... to get an equation with one less variable. When you have it, you solve it for the variable that's left.
Substitution method 2x plus 3y equals 13 x equals 2?
2x-3y=13
If Using substitution method to solve the equation y equals 8x plus 3 and y equals 7?
This is not Calculus.y=7(Already solved)substiute y=7 into y=8xtherefore 7 = 8xtherefore x = 7/8
What is the disadvantage of using the substitution method in solving linear equations rather than the graph method?
There are no disadvantages. There are three main ways to solve linear equations which are: substitution, graphing, and elimination. The method that is most appropriate can be found by looking at the equation.
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.
Use the Substitution method to solve the system of equations y - 2x equals -5 3y - x equals 5?
From first equation: y = 2x - 5Substitute this in second equation: 3(2x - 5) - x = 5, ie 6x - 15 - x = 5ie 5x = 5 + 15 so x = 4 and y = 3
Who Invented the Substitution Method?
The substitution method in mathematics is a technique used to solve systems of equations by isolating one variable and substituting it into the other equation. The method is not attributed to a single inventor, as it has been used by mathematicians for centuries. The concept of substitution in algebra can be traced back to ancient civilizations such as the Babylonians and Greeks, who used similar methods to solve mathematical problems.
