To solve this system of equations, we first need to simplify the expressions:
1) 3(х+у) + 4,5х = 112) 1/у - 2 = 1/х
Let's solve each equation separately:
1) Simplify the first equation:
3(х+у) + 4,5х = 113х + 3у + 4,5х = 117,5х + 3у = 11
2) Simplify the second equation:
1/у - 2 = 1/хMultiply by у and х to get rid of the fractions:х - 2у = ух - у = 2уx = 3у
Now we have x = 3y. Substitute x = 3y into the first equation:
7,5(3у) + 3у = 1122,5у + 3y = 1125,5y = 11y = 11 / 25,5y = 0,431
Then, substitute y = 0,431 into x = 3y:
x = 3*0,431x = 1.293
Therefore, the solution to the system of equations is:x = 1.293y = 0.431
To solve this system of equations, we first need to simplify the expressions:
1) 3(х+у) + 4,5х = 11
2) 1/у - 2 = 1/х
Let's solve each equation separately:
1) Simplify the first equation:
3(х+у) + 4,5х = 11
3х + 3у + 4,5х = 11
7,5х + 3у = 11
2) Simplify the second equation:
1/у - 2 = 1/х
Multiply by у and х to get rid of the fractions:
х - 2у = у
х - у = 2у
x = 3у
Now we have x = 3y. Substitute x = 3y into the first equation:
7,5(3у) + 3у = 11
22,5у + 3y = 11
25,5y = 11
y = 11 / 25,5
y = 0,431
Then, substitute y = 0,431 into x = 3y:
x = 3*0,431
x = 1.293
Therefore, the solution to the system of equations is:
x = 1.293
y = 0.431