In matrix form, the system is given by
I'll use G-J elimination. Consider the augmented matrix
• Multiply through row 1 by -1.
• Eliminate the entries in the first column of the second and third rows. Combine -2 (row 1) with row 2, and -3 (row 1) with row 3.
• Eliminate the entry in the second column of the third row. Combine -5 (row 2) with row 3.
• Multiply row 3 by 1/3.
• Eliminate the entry in the third column of the second row. Combine row 2 with row 3.
• Eliminate the entries in the second and third columns of the first row. Combine row 1 with row 2 and -1 (row 3).
Then the solution to the system is
If you want to use G elimination and substitution, you'd stop at the step with the augmented matrix
The third row tells us that . Then in the second row,
and in the first row,
Answer:
Risheeta: The sticks won’t form any triangle.
Step-by-step explanation:
Risheeta is correct. Since 2+3=5, the three sticks put together would form a line, not a triangle. The sum of the two smaller legs HAVE TO equal more than the third leg in order to make a triangle.
(It won’t let me spell her name correctly because it “contains a swear word”!
{ y=2x+2
{ y=4x-2
2x+2=4x-2
x=2
y=2 ⋅ 2+2
y=6
(x,y)=(2,6)
——
Check solution:
{ 6=2 ⋅ 2+2
{ 6=4 ⋅ 2-2
{6=6
{6=6
Answer:
(-♾, ♾)
Step-by-step explanation:
A quadratic can accept any real x value. So the domain is All Real Numbers. This in interval notation is
(-♾, ♾)
This is read as negative infinity to positive infinity