Question

Помогите решить систему методом подстановки ,{2x+y=9{3x-2y=10

Answer 1

{2x + y = 9
{3x - 2y = 10
у = 9 - 2х
3х - 2 * (9 - 2х) = 10
3х - 18 + 4х = 10
7х = 28
х = 4
у = 9 - 2 * 4 = 1

проверка
2 * 4 + 1 = 9
3 * 4 - 2 * 1 = 10

Answer 2

Solving the System of Equations Using Substitution Method

To solve the system of equations 2x+y=9 and 3x-2y=10 using the method of substitution, we can start by solving one of the equations for one variable and then substitute that expression into the other equation.

First, let's solve the first equation for y: 2x + y = 9 y = 9 - 2x.

Now, we can substitute the expression for y into the second equation: 3x - 2(9 - 2x) = 10 3x - 18 + 4x = 10 7x - 18 = 10 7x = 28 x = 4.

Now that we have found the value of x, we can substitute it back into the expression for y: y = 9 - 2(4) y = 9 - 8 y = 1.

So, the solution to the system of equations 2x+y=9 and 3x-2y=10 using the method of substitution is x = 4 and y = 1.

This solution satisfies both equations and is therefore the solution to the system.