Step 1. Multiply first equation with -3 and the second one with 2. You'll get:
Step 2. Add both equations together. You'll get:
, which gives x = -2
Step 3. Replace x = -2 in the first equation and calculate y.
The solution is: x=-2, y=5
Answer: 6
Step-by-step explanation: First rewrite 10 as 10/1 and 1 and 2/3 as 5/3.
Mixed numbers can be changed to improper fractions by multiplying the denominator by the whole number and then adding the numerator. We then put out numerator over our old denominator.
So we have 10/1 ÷ 5/3 or 10/1 × 3/5.
It's important to understand that dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division to multiplication and flip the second fraction.
Now multiplying across the numerators and across the denominators, we have 30/5. Notice however that 30/5 is not in lowest terms so we divide the numerator and the denominator by the greatest common factor of 30 and 5 which is 6 and we end up with 6.
Therefore, 10 ÷ 1 and 2/3 = 6.
Please see pic for answer and work
A generic point on the graph of the curve has coordinates
The derivative gives us the slope of the tangent line at a given point:
Let k be a generic x-coordinate. The tangent line to the curve at this point will pass through 
and have slope 
So, we can write its equation using the point-slope formula: a line with slope m passing through 
has equation
In this case, 
and 
, so the equation becomes
We can rewrite the equation as follows:
We know that this function must give 0 when evaluated at x=0:
This equation has no real solution, so the problem looks impossible.
