Question

3x + 5y = 1 2x + y = - 4

Answer 1

Ответ:

Все на фото

Объяснение:

Answer 2

It seems like you've provided a system of linear equations with two variables, x and y. The system consists of two equations:

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

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

Step 1: Solve Equation 2 for y: $2x + y = -4 \implies y = -2x - 4$

Step 2: Substitute the expression for y from Step 1 into Equation 1: $3x + 5(-2x - 4) = 1$

Step 3: Simplify and solve for x: $3x - 10x - 20 = 1$ $-7x - 20 = 1$ $-7x = 21$ $x = -3$

Step 4: Substitute the value of x back into the expression for y from Step 1: $y = -2(-3) - 4$ $y = 6 - 4$ $y = 2$

So, the solution to the system of equations is $x = -3$ and $y = 2$. You can verify this solution by substituting these values into both original equations to ensure they satisfy both equations.