Righty in equation in standard form using integers Y +1 equals 2/3 parentheses X +3 parentheses

Mathematics

1 answer:

Korolek [52]3 years ago

4 0

Answer:

The standard for of the equation would be 2x + 3y = 3

Step-by-step explanation:

To start, we simply need to solve for the constant.

y + 1 = 2/3(x + 3)

y + 1 = 2/3x + 2

2/3x + y + 1 = 2

2/3x + y = 1

Now we need to multiply all the numbers by the largest denominator. This will make all the numbers integers. In this case, that number would be 3.

2x + 3y = 3

You might be interested in

Hey can you please help me posted picture of question :)

otez555 [7]

Answer:
The solutions are -3 and -6

Explanation:
First we would need to put the equation in standard form which is:
ax² + bx + c = 0
This can be done as follows:
x² + 18 = -9x
x² + 9x + 18 = 0
By comparison, we would find that:
a = 1
b = 9
c = 18

Now, to get the roots, we would use the quadratic formula shown in the attached image.

By substitution, we would find that:
either x = $\frac{-9+ \sqrt{(9)^2-4(1)(18)} }{2(1)} = -3$

or x = $\frac{-9- \sqrt{(9)^2-4(1)(18)} }{2(1)} = -6$

Hope this helps :)