5x+3y = 51
y = 10x-8
Substituting the bottom equation into the top equation:
5x+3(10x-8) = 51
5x+30x-24 = 51
5x+30x = 51+24
35x = 75
Divide both sides by 35 to find the value of x:
x = 75/35 = 15/7 in its lowest terms.
Substitute the value of x into the original equations to find the value of y:
So: x = 15/7 and y = 94/7
x = 3, y = 3
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
The linear momentum of a system of particles is simply the vector sum of the linear momentum of each of the particles.
A system of linear inequalities
A = coefficient matrix (n x n) B = constant matrix (n x 1)
In general, a system of non-linear equations cannot be solved by substitutions.
The system is simultaneous linear equations
-2x=2y-4 2x-y=-5 Answer=(-1,3)
The linear system is a math model of a system that is based on the use of a linear operator. The linear system and functional approximation to solve the equation Ax equals b for x by calculating an LU decomposition of A back solving where A equals 2 1 1 and b equals 2 11 cannot be solved, because it is missing more information.
A consistent system.
A "system of equations" implies that there is more than one equation.
7
x = 3, y = 3
a=5: c=4
It works out that x = 0 and y = 3
Inconsistent linear equations in two variables.
It probably means that one of the equations is a linear combination of the others/ To that extent, the system of equations is over-specified.