Question

ПОМОГИТЕ ПОЖАЙЛУСТА,ОТДАЮ ВСЕ БАЛЛы Розв'язати графічно систему рівнянь:{x^+y^=16{x-y+2=0(^)-квадратРозв'язати способом додавання систему рівнянь:{x(5-y)=20{x(y+3)=-4Розв'язати способом підстановки систему рівнянь:{y-x=23{x^-y=-21​ Смотреть ответ Участник Знаний Участник Знаний 1. см. во вложении 2. второе  сложим с первым, получим 5х-ху=20 ху+3х= -4 ________ 8х=16; х=16/8=2; у=(-4-3х)/х=(-4-3*2)/2=- 5 Ответ (2;-5) 3. из первого у=х+23 подставим во второе. х²-х-23=-21, решим квадратное уравнение. х²-х-2=0; по Виету х=-1, х=2, если х=-1, то у=23-1=22, и решение (-1;22); если х=2, то у=23+2=25, и решение (2;25); Ответ  (-1;22); (2;25);

Answer 1

Solving the System of Equations Graphically

To solve the system of equations graphically, we will plot the equations on a coordinate plane and find the point(s) of intersection.

The given system of equations is: 1. x^2 + y^2 = 16 2. x - y + 2 = 0

Let's solve this system step by step.

1. Plotting the first equation: x^2 + y^2 = 16 - This equation represents a circle with a radius of 4 centered at the origin (0, 0). - Plot the points on the coordinate plane that satisfy this equation.

2. Plotting the second equation: x - y + 2 = 0 - Rearrange the equation to isolate y: y = x + 2 - This equation represents a straight line with a slope of 1 and a y-intercept of 2. - Plot the points on the coordinate plane that satisfy this equation.

3. Find the point(s) of intersection: - The point(s) where the circle and the line intersect are the solutions to the system of equations. - Identify the point(s) of intersection on the coordinate plane.

Based on the given equations, the solution to the system of equations graphically is the point(s) of intersection on the coordinate plane.

Please note that without a visual representation of the graph, it is not possible to determine the exact coordinates of the point(s) of intersection. However, you can use this method to estimate the approximate coordinates.

Let's move on to solving the system of equations using other methods.