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How do you use the elimination method using 5x plus 3y equals -6 and 3x subtract 2y equals 4?
Wiki User
∙ 14y ago
5x + 3y = -6
3x - 2y = 4 (multiply by 2 the first equation, multiply by 3 the second equation)
10x + 6y = -12
9x - 6y = 12 (add both the equations)
19x = 0 (divide by 19 both sides)
x = 0 (substitute 0 for x into the first equation)
5x + 3y = -6
5(0) + 3y = -6
3y = -6 (divide by 3 to both sides)
y = -2
Thus, (0, -2) is the solution of the given system of the equations.
Wiki User
∙ 14y ago
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Solve this equation using addition method 4a subtract 5b equals 7 and 4a plus 5b equals 17?
Add the equations: 4a + 4a - 5b + 5b = 7 + 17 ie 8a = 24 a = 3, so b = 1
True or false The key to using the elimination method is to find variable terms in the two equations that have equal or opposite coefficients?
True
Solve using susbstitution method X-5y equals -54 and 2y-5x equals 63?
8840-026
If 3a plus 2b equals 24 and 4a plus 8b equals 70 how do you solve for a and b using the elimination method?
Two equations, two unknownsFirst, multiply 3a + 2b = 70 by 4. This gives the equation 12a + 8b = 96. Next, subtract 4a + 8b = 70 from this equation. This result gives 8a = 26, which, solving for a, gives a = 3.25.Substitue the value of a into one of the original equations, which will give b = 7.125.Finally check your results by substituting the values of a and b into each equation.Answer:Given two equations 3a + 2b = 24 ------ (1) and 4a + 8b = 70 ------ (2) We have to solve this by using elimination method.Multiply the equation 3a + 2b = 24 by 4 on both the sides.We get 12a + 8b = 96 ---------- (3)Now, subtract the equation (2) from equation (3)12a + 8b = 96 ---------- (3)4a + 8b = 70 ---------- (2)--------------------------------(12a - 4a) + (8b - 8b) = (96 - 70)8a + 0 = 268a = 26a = 26/8a = 13/4 (Or) a = 3.25Substitute the value of a in the equation (2)4a + 8b = 70 ---------- (2)4(13/4) + 8b = 70.13 + 8b = 708b = 70 - 138b = 57b = 57/8 (Or) b = 7.125
Why is graphing easier than using elimination or substitution?
Graphing is not necessarily easier than elimination or substitution. If you are good at drawing graphs, and do not like algebra, then graphing is easier. However, elimination and substitution are much faster, and graphing can often get awkward when working with more complicated formulae.
How do you solve y equals 2x-6 and 3x plus y equals 4 using the elimination method?
(2,-2)
Solve the system of equations using the elimination method negative x plus y equals negative 3 and 3x plus 2y equals 9?
By elimination: x = 3 and y = 0
The ELIMINATION method performs operations on a system of equations to?
Simultaneous equations can be solved using the elimination method.
Can You Solve 2x plus 3y equals 18 and 2x-3y equals -6 Using The Elimination Method?
Yes and it works out that x = 3 and y = 4
What is 2y-2x-8 3y-18-3x using elimination method?
To solve this system of equations using the elimination method, we need to eliminate one variable by adding or subtracting the two equations. By looking at the equations given (2y-2x-8 = 0 and 3y-18-3x = 0), we can choose to eliminate either the x or y variable. Let's choose to eliminate the x variable: Multiply the first equation by 3 and the second equation by 2 to make the coefficients of x the same: 6y - 6x - 24 = 0 6y - 36 - 6x = 0 Now we can subtract the second equation from the first equation to eliminate x: (6y - 6x - 24) - (6y - 36 - 6x) = 0 Simplify to get -12 = 0, which is a false statement. Therefore, the system of equations is inconsistent and has no solution.
Solve this equation using addition method -8x plus 3y equals -5 and 8x subtract 2y equals 6?
x=1, y=1
Can quadratic systems be solved using elimination and substitution?
You can solve lineaar quadratic systems by either the elimination or the substitution methods. You can also solve them using the comparison method. Which method works best depends on which method the person solving them is comfortable with.
What is 3x plus 2y 18 x-3y -5 using the elimination method?
Using the elimination method, 3x + (2y) times 18x - 3y - 5 gives the result of 36xy + 3x - 3y - 5.
How do you solve using elimination method 2x-y equals -2?
4
Solve this equation using addition method 4a subtract 5b equals 7 and 4a plus 5b equals 17?
Add the equations: 4a + 4a - 5b + 5b = 7 + 17 ie 8a = 24 a = 3, so b = 1
4x-7y equals 13 -2x plus 7y equals -3?
One way to solve this system of equations is by using matrices. Form an augmented matrix in which the first 2x2 matrix is the coefficient matrix and the 2x1 matrix on its right is the answer. Now apply Gaussian Elimination and back-substitution. Using this method gives x=5 and y=1.
True or false The key to using the elimination method is to find variable terms in the two equations that have equal or opposite coefficients?
True
