Question

15) 4x - y - 3 = 0;6) -x + 2y – 5 = 0.​

Answer 1

Ответ:

4x - y - 3 = 0

4х-у=0+3

4х-у=3

-x + 2y – 5 = 0.

-х+2у=0+5

-х+2у=5

Answer 2

To solve the system of equations:

1. 4x - y - 3 = 0
2. -x + 2y - 5 = 0

You can use either the substitution method or the elimination method. I'll show you how to use the elimination method here:

Step 1: Multiply both sides of the first equation by 2 to make the coefficients of y the same in both equations:

1. 8x - 2y - 6 = 0

Step 2: Add the modified first equation (8x - 2y - 6 = 0) to the second equation (-x + 2y - 5 = 0) to eliminate the variable y: 8x - 2y - 6 + (-x + 2y - 5) = 0 7x - 11 = 0

Step 3: Now, isolate x by bringing the constant term to the other side: 7x = 11 x = 11/7

Step 4: Substitute the value of x (11/7) into one of the original equations to find y. Let's use the first equation: 4(11/7) - y - 3 = 0 44/7 - y - 3 = 0

Step 5: Combine the constant terms and isolate y: y = 44/7 - 3 y = 44/7 - 21/7 y = 23/7

So the solution to the system of equations is: x = 11/7 y = 23/7