Answer:
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Answer:
Yes
Step-by-step explanation:
To be a solution of the system, it has to satisfy <em>both</em><em> the equations.</em>
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Let's check first one:
3x - 2y = -1
3 (1) - 2(2) = 3 - 4 = -1
So correct (satisfies).
Now, 2nd one:
y = -x + 3
y = -(1) + 3
y = -1 +3
y = 2
Yes, this is satisfied.
Hence, (1,2) IS A SOLUTION OF THE SYSTEM
Answer:

Step-by-step explanation:
This arithmetic sequence begins with 19, and for each consecutive value it subtracts 5. Therefore, the rule for this is:

Hope this helps!
Answer:
The smaller number is 4√2 and the larger number is (4√2 + 1).
Step-by-step explanation:
Let the two numbers be <em>x </em>and <em>y</em>, where <em>y</em> is the larger of the two numbers.
Since <em>y</em> is the larger number, it is one more than the smaller number. So:

When negative two times the smaller is added to the square of the larger, the result is 33. In other words:

Substitute:

Solve for <em>x</em>. Square:

Simplify:

Subtract one from both sides:

And take the square root of both sides:

Since <em>y</em> is positive, we can ignore the negative case. So, the smaller number is:

And the larger number is:
