Solve the system by elimination (show all work)
1 answer:
Answer:
Step-by-step explanation:
{−2x + 2y + 3z = 0
{−2x - y + z = −3 ←
{2x + 3y + 3z = 5 ←
2y + 4z = 2 ↷
{−2x + 2y + 3z = 0 ←
{−2x - y + z = −3
{2x + 3y + 3z = 5 ←
5y + 6z = 5 ↷
{5y + 6z = 5
{2y + 4z = 2
−⅖[5y + 6z = 5]
{−2y - 2⅖z = −2 >> New Temporary Equation
{2y + 4z = 2
____________
1⅗z = 0
___ _
1⅗ 1⅗
[Plug this back into both equations above to get the y-term of 1, then plugging both z-term and y-term into all three equations at the very top, will give you the x-term of 1];
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2/10 in simplest form:
First, we can start out by finding the greatest common factor (GCF) of the numerator (2) and the denominator (10). This should always be done when simplifying a fraction the quickest way. Let's list out the factors of each number and find the common ones.
Factors of 2: 1, 2
Factors of 10: 1, 2, 5, 10
The GCF is 2, considering that 1 and 2 are the common factors, but 2 is the greatest.
Second, our last step is to divide our numerator and denominator by the GCF (2) to find out our simplified fraction.
Answer in fraction form:
Answer in decimal form:
First, we can start out by finding the greatest common factor (GCF) of the numerator (2) and the denominator (10). This should always be done when simplifying a fraction the quickest way. Let's list out the factors of each number and find the common ones.
Factors of 2: 1, 2
Factors of 10: 1, 2, 5, 10
The GCF is 2, considering that 1 and 2 are the common factors, but 2 is the greatest.
Second, our last step is to divide our numerator and denominator by the GCF (2) to find out our simplified fraction.
Answer in fraction form:
Answer in decimal form: