Question

1.Какое из уравнений является линейным с двумя переменными a) 2x²+ 3x + 5 = 0; b) 3x+2y + 1 = 0; c) 4x+ 3 = 0 d) 8+ 4x=0 e) 3x+5x2+1=0 помоги пожалуйста ​

Answer 1

Ответ: b) 3x+2y + 1 = 0

Пошаговое объяснение: две переменные - x и y

Answer 2

Linear Equations with Two Variables

A linear equation is an equation that represents a straight line on a graph. It can be written in the form ax + by = c, where a, b, and c are constants, and x and y are variables.

Let's analyze each equation to determine which one is linear:

a) 2x² + 3x + 5 = 0 This equation is not linear because it contains a squared term (x²), which makes it a quadratic equation, not a linear equation.

b) 3x + 2y + 1 = 0 This equation is linear because it is in the form ax + by = c. The variables x and y are both raised to the power of 1, and there are no squared terms.

c) 4x + 3 = 0 This equation is linear because it is in the form ax + b = c. The variable x is raised to the power of 1, and there are no squared terms.

d) 8 + 4x = 0 This equation is linear because it is in the form ax + b = c. The variable x is raised to the power of 1, and there are no squared terms.

e) 3x + 5x² + 1 = 0 This equation is not linear because it contains a squared term (x²), which makes it a quadratic equation, not a linear equation.

Therefore, the linear equation with two variables is 3x + 2y + 1 = 0 (option b).