Question

4x + 5y = 3 6x - y = 13

Answer 1

Путем сложения

4х+5у=3

30х-5у=65

34х=68

Х=2

5у=3-8

у=-1

Answer 2

It looks like you've provided a system of two linear equations with two variables, x and y:

Equation 1: 4x + 5y = 3 Equation 2: 6x - y = 13

To solve for the values of x and y that satisfy both equations simultaneously, you can use various methods, such as substitution, elimination, or matrix methods. Let's solve it using the substitution method:

Step 1: Solve one of the equations for one variable. Let's solve Equation 2 for y:

6x - y = 13 -y = 13 - 6x y = -13 + 6x

Step 2: Substitute the expression for y from Step 1 into Equation 1:

4x + 5(-13 + 6x) = 3 4x - 65 + 30x = 3 34x - 65 = 3 34x = 68 x = 68 / 34 x = 2

Step 3: Substitute the value of x into the expression for y:

y = -13 + 6(2) y = -13 + 12 y = -1

So, the solution to the system of equations is x = 2 and y = -1. You can verify this solution by plugging these values into both original equations to see if they satisfy both equations.