Question

1)x-5y=3 2)2x+7y=10 3)4x-y=8 4)x+3y=-2 5)5x+y=10 6)-x+8y=-3

Answer 1

1) х-5у=3
х=3+5у
3+5у-5у=3
3=3
2) 2х+7у=10
2х=10-7у
х=(10-7у)/2
2*((10-7у)/2)+7у=10
10-7у+7у=10
10=10
3) 4х-у=8
4х-8=у
4х-(4х-8)=8
4х-4х+8=8
8=8
4)х+3у=-2
х=-2-3у
-2-3у+3у=-2
-2=-2
5) 5х+у=10
у=10-5х
5х+10-5х=10
10=10
6) -х+8у=-3
8у+3=х
-(8у+3)+8у=-3
-8у-3+8у=-3
-3=-3

Answer 2

It looks like you have a system of six linear equations with two variables, x and y. To find the solution for this system, you can use methods like substitution, elimination, or matrices. Let's solve this system of equations step-by-step using the elimination method:

1. x - 5y = 3
2. 2x + 7y = 10
3. 4x - y = 8
4. x + 3y = -2
5. 5x + y = 10
6. -x + 8y = -3

Step 1: Eliminate one variable from two of the equations. Let's start by eliminating x. For this, we'll perform operations on pairs of equations to cancel out the x variable:

From equations 1) and 2): Multiply equation 1) by 2: 2x - 10y = 6

Now, subtract the new equation from equation 2) to eliminate x: (2x + 7y) - (2x - 10y) = 10 - 6 17y = 4 y = 4 / 17 (approx. 0.2353)

Step 2: Substitute the value of y into one of the original equations to solve for x. Let's use equation 1): x - 5y = 3 x - 5(4 / 17) = 3 x - 20 / 17 = 3 x = 3 + 20 / 17 x = (51 + 20) / 17 x = 71 / 17 (approx. 4.1765)

So, the solution to the system of equations is approximately: x ≈ 4.1765 y ≈ 0.2353