Question

5x-y=77x-4y=-1................2(4x-5)-3(3+4y)=57(6y-1)-4+3x)=21y-86​

Answer 1

Ответ:

1) {5x + y = 7,

7x − 4y = − 1;

2) {6x − 5y = 23,

2x − 7y = 13;

3) {5x − 2y = 16,

8x + 3y = 38;

4) {5x − 4y = 10,

2x − 3y = − 3;

5) {4a + 6b = 9,

3a − 5b = 2;

6) {9m − 13n = 22,

2m + 3n = − 1.

Answer 2

To solve the system of equations, let's go step by step:

1. Solve the first equation: 5x - y = 77

Rearranging the equation, we have: y = 5x - 77

2. Substitute the value of y in the second equation: 7x - 4(5x - 77) = -1

Expand and simplify: 7x - 20x + 308 = -1 -13x = -309 x = (-309)/(-13) x = 23.77 (rounded to two decimal places)

3. Substitute the value of x into the first equation to find y: 5(23.77) - y = 77 118.85 - y = 77 -y = 77 - 118.85 -y = -41.85 y = 41.85

Therefore, the solution to the system of equations is: x ≈ 23.77 y ≈ 41.85