Answer:
Solving systems of equations with 3 variables is very similar to how we solve systems with two variables. When we had two variables we reduced the system down
to one with only one variable (by substitution or addition). With three variables
we will reduce the system down to one with two variables (usually by addition),
which we can then solve by either addition or substitution.
To reduce from three variables down to two it is very important to keep the work
organized. We will use addition with two equations to eliminate one variable.
This new equation we will call (A). Then we will use a different pair of equations
and use addition to eliminate the same variable. This second new equation we
will call (B). Once we have done this we will have two equations (A) and (B)
with the same two variables that we can solve using either method. This is shown
in the following examples.
Example 1.
3x +2y − z = − 1
− 2x − 2y +3z = 5 We will eliminate y using two different pairs of equations
5x +2y − z = 3
Step-by-step explanation:
Answer:
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Step-by-step explanation:
factor of 10x + 40y
Answer:
Answer:
See the graph attached. The red arrow represents the shaded area.
Explanation:
The inequality and its solution are given:
The solution set is all real numbers less than or equal to -50.
In a number line, the values less than -50 are all the values that are to the left of -50. Thus, the graph of a ≤ -50 must include -50 and the region to the left of it.
To indicate that - 50 is included, draw a solid point; then, shade the region since it to its left.
Please, see the graph attached. The red arrow represents the shaded area.
Step-by-step explanation:
Step-by-step explanation:
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