Question

X-y=4​

Answer 1

Объяснение:

$\left \{ {{x-y=4} \atop {x^2-y^2=40}} \right. \ \ \ \ \left \{ {{x-y=4} \atop {(x-y)*(x+y)=40}} \right. \ \ \ \ \left \{ {{x-y=4} \atop {4*(x+y)=40\ |:4}} \right. \ \ \ \ \left \{ {{x-y=4} \atop {x+y=10}} \right..$

Суммируем эти уравнения:

$2x=14\ |:2\\x=7\ \ \ \ \Rightarrow\\7-y=4\\y=3.$

Ответ: (7;3).

Answer 2

The equation X - Y = 4 represents a linear equation in two variables, X and Y. This equation describes a straight line in a Cartesian coordinate system.

To find solutions for this equation, you can rearrange it to solve for one of the variables in terms of the other. Let's solve for X in terms of Y:

X - Y = 4

Add Y to both sides of the equation:

X = 4 + Y

So, X is equal to 4 plus Y. This equation represents a family of lines with a slope of 1 (because the coefficient of Y is 1), meaning that for each value of Y, X will be 4 units greater. In other words, as you move along the line, X will increase by 4 units for every unit Y increases.

If you have specific values for Y and want to find the corresponding X value, you can use this equation. If you have a specific value for X and want to find the corresponding Y value, you can rearrange the equation to solve for Y in terms of X:

X - Y = 4

Subtract X from both sides:

-Y = 4 - X

Multiply both sides by -1 to isolate Y:

Y = -4 + X

So, Y is equal to X minus 4. This equation tells you that for each unit increase in X, Y will decrease by 4 units.