Solve this system of equations. 5x+3y+z=-29 x-3y+2z=23 14x-2y+3z=-18 Write the solution as an ordered triple.
x = 6 and y = -2
To solve an equation with three unknowns, x, y and z, you require 3 independent equations.
A system of equations is two or more equations that share at least one variable. Once you have determined your equations, solve for one of the variables and substitute in that solution to the other equation.
The easiest way to solve this system of equations is to solve for a variable in one of the equations. In the second equation, y = 3x. This can be substituted into the first equation: y = -4x - 7; 3x = = -4x - 7; 7x = -7; x = -1. Since we have determined that x equals -1, we can then substitute -1 into either equation to find our corresponding y-value. Thus: y = 3x; y = 3(-1) y = -3. Thus, the solution to this system of equations is (-1, -3).
It works out that x = 6 and y = 3 or as (6, 3)
the answer
To solve for two unknowns (x and y) it is necessary to have two independent equations.
x = 6 and y = -2
Check your text book for how to solve it.
When talking about a "system of equations", you would normally expect to have two or more equations. It is quite common to have as many equations as you have variables, so in this case you should have two equations.
x = 4 and y = 0
If you already know that x = -3 and y = 5 what linear equations are you wanting to solve?
You solve equations with fractions the same way you solve other equations. You perform various arithmetic operations on both sides of the equals sign until you get the result you want.
a=5: c=4
x = -1.2, y = -3
16
To solve a system of equations, you need equations (number phrases with equal signs).