Question

Y= 2/3X - 3 y= -2x + 5

Answer 1

Ответ (x,y) =(3;-1).

Answer 2

Прямую можно провести по 2 точкам, так что пусть х=3;6

1. у=2/3х-3

х 3 6
у -1 1

2/3*3-3=2-3=-1

2/3*6-3=4-3=1

2. у=-2х+5

х 3 6
у -1 -7

-2*3+5=-6+5=-1

-2*6+5= -12+5=-7

Answer 3

You've provided two linear equations:

1. $Y = \frac{2}{3}X - 3$
2. $Y = -2X + 5$

These equations represent two lines in a Cartesian coordinate system. To find their point of intersection (if it exists), you can set the two equations equal to each other and solve for the values of X and Y:

$\frac{2}{3}X - 3 = -2X + 5$

First, let's get rid of the fractions by multiplying both sides by 3 to clear the fraction:

$2X - 9 = -6X + 15$

Now, let's isolate the variable X by moving the terms involving X to one side and the constants to the other side:

$2X + 6X = 15 + 9$

Combine like terms:

$8X = 24$

Now, divide both sides by 8 to find the value of X:

$X = \frac{24}{8}$

Simplify:

$X = 3$

Now that we have the value of X, we can find the value of Y by plugging it into one of the original equations. Let's use the first equation:

$Y = \frac{2}{3}(3) - 3$

Simplify:

$Y = 2 - 3$

$Y = -1$

So, the solution to the system of equations is:

$X = 3$ and $Y = -1$

Therefore, the two lines intersect at the point (3, -1).