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)
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(12a - 4a) + (8b - 8b) = (96 - 70)
8a + 0 = 26
8a = 26
a = 26/8
a = 13/4 (Or) a = 3.25
Substitute the value of a in the equation (2)
4a + 8b = 70 ---------- (2)
4(13/4) + 8b = 70.
13 + 8b = 70
8b = 70 - 13
8b = 57
b = 57/8 (Or) b = 7.125
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you cant
You can verify section formula by graphical method if you cannot solve it using algebra.
True
Add the equations: 4a + 4a - 5b + 5b = 7 + 17 ie 8a = 24 a = 3, so b = 1
(2,-2)
By elimination: x = 3 and y = 0
Yes and it works out that x = 3 and y = 4
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.
4
You cannot solve one linear equation in two variables. You need two equations that are independent.
Multiply every term in both equations by any number that is not 0 or 1, and has not been posted in our discussion already. Then solve the new system you have created using elimination or substitution method:6x + 9y = -310x - 6y = 58
Simultaneous equations can be solved using the elimination method.
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the answer
There is no answer because you can't find the value of x and y if you do not have and equals sign.
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.