Question

2+3(х +5y)=-(2x+3y) 3x+4y=-8

Answer 1

2+3x+15y=-2x-3y
2+3x+15y+2x+3y=
=2+5x+18y=
=5x+18y=-2

Answer 2

2+3х+15у=-2х-3у
3х+4у=8

5х+18у=-2
3х+4у=-8

2х+14у=6
2х=6-14у
х=3-7у
3*(3-7у)+4у=-8
9-21у+4у=-8
-17у=-17:-P :-*
у=1

3х+4=-8
3х=-8-4
3х=-12
х=-12:3
х=-4

Answer 3

To solve the system of equations:

1. 2 + 3(x + 5y) = -(2x + 3y)
2. 3x + 4y = -8

We can start by simplifying the first equation:

2 + 3x + 15y = -2x - 3y 3x + 15y + 2x + 3y = -2 - 2 5x + 18y = -4

Now we have a simplified version of the first equation. We can proceed to solve the system of equations using the method of substitution or elimination.

Let's solve it using the substitution method:

From equation 2: 3x + 4y = -8 3x = -8 - 4y x = (-8 - 4y) / 3

Substitute this expression for x in equation 3x + 18y = -4:

5((-8 - 4y) / 3) + 18y = -4 (-40 - 20y) / 3 + 18y = -4 -40 - 20y + 54y = -12 34y = -12 + 40 34y = 28 y = 28 / 34 y = 14 / 17

Now substitute the value of y back into the equation 3x + 4y = -8 to find x:

3x + 4(14/17) = -8 3x + 56/17 = -8 3x = -8 - 56/17 3x = (-136 - 56) / 17 3x = -192 / 17 x = -64 / 17

Therefore, the solution to the system of equations is: x = -64/17 y = 14/17