Consider the system of equations 2x-5y=a 3x+4y=b 2x- 4y=c where a, b, c are constants. Because...

Consider the system of equations

2x-5y=a

3x+4y=b

2x- 4y=c

where a, b, c are constants. Because there are 3 equations and 3 unknowns, there are no possible values of a, b and c for which the system of equations has a unique solution. True or false?

Expert Solution

Finally, you can say that if we take some triple {e.g. (a, b, c) = (2, 3, 2) } then the system of equation has unique solution {e.g. for a=2, b=3, c=2 then x=1 and y=0}.

Colby Messinger answered 2 years ago

Solve the system of equations x?2y?z?2t=1 3x?5y?2z?3t=2 2x?5y?2z?5t=3 ?x+4y+4z+11t= ?1 Using Gauss-Jordan to Solve a System

Solve the following differential equations using method of undetermined coefficients: a) y''-5y'+6y=2t-3e^(-4t) b)y''+4y=5cos(2x) c)y''''-y''=3x+yxe^(-x) d)y''-3y'-4y=3+e^(4t)

Solve the simultaneous equations: a) x + y = 7, 3x - 2y = 11 b) 7x - 2y = 1, 3x + 4y = 15?

Solve the simultaneous equations:a) x + y = 7, 3x - 2y = 11b) 7x - 2y = 1, 3x + 4y = 15

1) Solve the system of linear equations using the Gauss-Jordan elimination method. 2x + 4y −...

1) Solve the system of linear equations using the Gauss-Jordan elimination method. 2x + 4y − 6z = 56 x + 2y + 3z = −2 3x − 4y + 4z = −21 (x, y, z) = 2) Solve the system of linear equations using the Gauss-Jordan elimination method. 5x + 3y = 9 −2x + y = −8 (x, y) =

Question

Consider the system of equations 2x-5y=a 3x+4y=b 2x- 4y=c where a, b, c are constants. Because...

Solutions

Expert Solution

Related Solutions

Solve the system of equations x?2y?z?2t=1 3x?5y?2z?3t=2 2x?5y?2z?5t=3 ?x+4y+4z+11t= ?1 Using Gauss-Jordan to Solve a System

Solve the following differential equations using method of undetermined coefficients: a) y''-5y'+6y=2t-3e^(-4t) b)y''+4y=5cos(2x) c)y''''-y''=3x+yxe^(-x) d)y''-3y'-4y=3+e^(4t)

Solve the simultaneous equations: a) x + y = 7, 3x - 2y = 11 b) 7x - 2y = 1, 3x + 4y = 15?

1) Solve the system of linear equations using the Gauss-Jordan elimination method. 2x + 4y −...

Solve the set of equations: 3x - 5y = - 1, x - y = - 1?

Find the general solution to the differential equation 3x''+2x'+2x=0. Use and to denote arbitrary constants.

Solve a system of equations: 1- 2x = 5 mod 15 3x = 1 mod 4...

Solve the simultaneous equations: 5x - 3y = 1, 2x + 5y = 19?

Find x/y given 2x + y = 35 and 3x + 4y = 65?

Find the general solution of the following equations: y′′ −4y′ +4y=0; y′′ −5y′ +6y=0; y′′ −...