Question

Решите пожалуйста способом сложения тип система -{7х+5y=-5, 5x+3y=1;

Answer 1

Vashe zadanie resheno

Answer 2

Solution to the System of Equations

To solve the system of equations 7x + 5y = -5 and 5x + 3y = 1, we can use the method of substitution or elimination. Let's use the elimination method to find the values of x and y.

1. Multiply the first equation by 3 and the second equation by 5 to make the coefficients of x in both equations the same: - Equation 1: 21x + 15y = -15 - Equation 2: 25x + 15y = 5

2. Subtract equation 1 from equation 2 to eliminate y: - (Equation 2) - (Equation 1): (25x + 15y) - (21x + 15y) = 5 - (-15) - Simplifying, we get: 4x = 20 - Dividing both sides by 4, we find: x = 5

3. Substitute the value of x back into one of the original equations to solve for y. Let's use the first equation: - 7(5) + 5y = -5 - Simplifying, we get: 35 + 5y = -5 - Subtracting 35 from both sides, we find: 5y = -40 - Dividing both sides by 5, we get: y = -8

Therefore, the solution to the system of equations 7x + 5y = -5 and 5x + 3y = 1 is x = 5 and y = -8.