There is no such pair. The solution to equation 1 and equation 2 is x = 1, y = 1. The solution to equation 2 and equation 3 is x = 1, y = 1. And the solution to equation 1 and equation 3 is any point on the line 3x + 2y = 5 - an infinite number of solutions. The fact that the determinant for equations 1 and 3 is zero (or that they are not independent) does not mean that there is no solution. It means that there is no UNIQUE solution. In this particular case, the two equations are equivalent and so have an infinite number of solutions.
x = -3/5 and y = -24/5
It's one of the simplest linear equations in 'x' that can be written. Its solution is [ x = -5 ].
If you already know that x = -3 and y = 5 what linear equations are you wanting to solve?
You have two unknown variables, x and y. You therefore need at least two independent equations to find a solution.
The answer will depend on statement 3 5 - whatever that may be!
2x + 3 = 7 and x = 2 3y - 5 = 7 and y = 4
Do you mean: 4x+7y = 47 and 5x-4y = -5 Then the solutions to the simultaneous equations are: x = 3 and y = 5
7
There is no such pair. The solution to equation 1 and equation 2 is x = 1, y = 1. The solution to equation 2 and equation 3 is x = 1, y = 1. And the solution to equation 1 and equation 3 is any point on the line 3x + 2y = 5 - an infinite number of solutions. The fact that the determinant for equations 1 and 3 is zero (or that they are not independent) does not mean that there is no solution. It means that there is no UNIQUE solution. In this particular case, the two equations are equivalent and so have an infinite number of solutions.
Tell whether the ordered pair (5, -5) is a solution of the system
Without any equality signs they can't be considered to be equations. But if you mean: x+2y =12 and y = x+3 then the solution is as follows x+2y = 12 -x+y = 3 Adding the equations together: 3y = 15 and y = 5 By substitution: x = 2 Solution: x = 2 and y = 5
If you mean: 6x-3y = -33 and 2x+y = -1 Then solving the simultaneous equations by substitution: x = -3 and y = 5
x = -3/5 and y = -24/5
Without any equality signs the given expressions can't be considered as equations.
That of course will depend on what system of equations are they which have not been given
It's one of the simplest linear equations in 'x' that can be written. Its solution is [ x = -5 ].