x - 2y = 1 → x = 1 + 2y
3xy - y² = 8
Substitute the first equation into the second equation and subtract 8 from both sides:
3(1 +2y)y - y² = 0
3y +6y² - y² - 8 = 0
5y² + 3y - 8 = 0
When factored: (5y +8)(y -1) = 0
Therefore: y = -⁸/₅ or y = 1
Substituting the above values into the linear equation gives the solutions as: (3, 1) and (-¹¹/₈, -⁸/₅)
Plot the straight line representing 2y = 12 - x. Plot the straight line representing 3y = x - 2 The coordinates of the point of intersection of these two lines is the solution to the simultaneous equations.
Solve this problem -x squared -40x- 80 =0
By factoring. q2 + 16q = 0 q (q + 16) = 0 Now, either q = 0, or q + 16 = 0. Solve those two equations to get the solution.
-2
To solve for 2 unknown variables you need 2 independent equations. You have only 1.
Can't be done unless you have another equation with the same x and y. Then you would solve for simultaneous equations.
Its called Simultaneous Equations
Graphically might be the simplest answer.
solve systems of up to 29 simultaneous equations.
4
Parallel lines never meet and so parallel equations do not have any simultaneous solution.
Solve simultaneous equations of up to 29 variables.
The elimination method only works with simultaneous equations, hence another equation is needed here for it to be solvable.
Simultaneous equations are where you have multiple equations, often coupled with multiple variables. An example would be x+y=2, x-y=2. To solve for x and y, both equations would have to be used simultaneously.
The most common use for inverted matrices is to solve a set of simultaneous equations.
This equation is not possible unless you are given another equation related to x and y. Then you could use simultaneous equations to solve this. However in this came this question is impossible
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