x + 4y = -14 eqn1
2x + 3y = 13 eqn2
Using the elimination method we multiply eqn1 by 2
2x + 8y = -28 eqn1b
Subtract eqn2 from eqn1b
2x + 8y = -28 eqn1b
2x + 3y = 13 eqn2
5y =-41
y = -8 and 1/5
substituting this into eqn1 we get
x +4 (-41/5) = -14
x = (14*5) / (41 *4)
x = (35/82)
The elimination method only works with simultaneous equations, hence another equation is needed here for it to be solvable.
z=pq
Solve this simultaneous equation using the elimination method after rearraging these equations in the form of: 3x-y = 5 -x+y = 3 Add both equations together: 2x = 8 => x = 4 Substitute the value of x into the original equations to find the value of y: So: x = 4 and y = 7
y = -24x - 3y = 18 (use the substitution method)4x - 3y = 18 (substitute -2 for y, and solve for x))4x - 3(-2) = 184x + 6 = 18 (subtract 6 to both sides)4x = 12 (divide by 2 to both sides)x = 3Thus, (3, -2) is the solution of the given system of equations.
7x - 9y = 35-3x + 6y = -15 (divide the second equation by 3, after that multiply it by 7)7x - 9y = 35-7x + 14y = -35 (add both equations)5y = 0 (divide both sides by 5)y = 07x - 9y = 35 (substitute 0 for y)7x = 35 (divide both sides by 7)x = 5Thus the solution of the given system of the equations is x = 5 and y = 0.
Solve the system by the elimination method 5x 5y-13 7x-3y17what is the solution to the system?
By elimination: x = 3 and y = 0
(2,-2)
y=16 x= -4
16
The elimination method only works with simultaneous equations, hence another equation is needed here for it to be solvable.
Yes and it works out that x = 3 and y = 4
4
2x + 2y = 44x + y = 1There are many methods you can use to solve this system of equations (graphing, elimination, substitution, matrices)...but no matter what method you use, you should get x = -1/3 and y = 7/3.
by elimination,substitution or through the matrix method.
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.
the answer