Solve using Substitution y = 6x - 11 -2x - 3y = -7

Mathematics

1 answer:

vladimir2022 [97]3 years ago

4 0

Answer:

(2, 1)

Step-by-step explanation:

To solve by substitution, we solve one equation for one of its variables and then substitute the solved value for that variable into the other equation. Because this system of equations already has one solved for the variable, this makes our job much easier. We only need to implement the solved value for y into the other equation and solve for x.

y = 6x - 11

-2x - 3(6x - 11) = -7 Distribute.

-2x - 18x + 33 = -7 Combine like terms.

-20x + 33 = -7 Subtract 33 from both sides of the equation.

-20x = -40 Divide by -20 on both sides of the equation.

x = 2

Then, with this value, we will place it into the equation that was already solved for y in order to get a definite value for y.

y = 6(2) - 11

y = 12 - 11

y = 1

Using this information, the coordinate pair for this equation (the point of intersection between the two lines) is (2, 1).

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Can someone please explain how to solve this problem(31)

pogonyaev

Answer:

(-1.92, 1.08)

Step-by-step explanation:

The incenter is the center of the largest circle that can be inscribed in the triangle. That circle is called the incircle. The incenter is at the point of intersection of the angle bisectors. For a right triangle, the inradius (the radius of the incircle), is found from a simple formula:

r = (a + b - c)/2 . . . . . where c is the hypotenuse, and a and b are the legs

In your triangle, the inradius is ...

r = (5 + 3 -√(5² +3²))/2 = 4 -√8.5 ≈ 1.08452

Among other things, this means the coordinates of the incenter are about (1.08, 1.08) from the right angle vertex, so are about ...

incenter ≈ (-1.92, 1.08)