Question

-6(4-х)+4(у+5)=-2 11(1+х)-9(7-у)=-45

Answer 1

-6(4-х)+4(у+5)=-2

-24+6х+4у+20=-2

6х+4у-4=-2

6х+4у=-2+4

6х+4у=2

3х+2у=1

Х=(1-2у):3

У=(1-3х):2

11(1+х)-9(7-у)=-45

11+11х-63+9у=-45

11х+9у-52=-45

11х+9у=-45+52

11х+9у=7

Answer 2

To solve the system of equations, we'll first simplify each equation and then solve for the variables "x" and "y."

1. -6(4 - x) + 4(y + 5) = -2
2. 11(1 + x) - 9(7 - y) = -45

Let's solve it step-by-step:

Step 1: Simplify the equations.

1. -6(4 - x) + 4(y + 5) = -2 Distribute the terms: -24 + 6x + 4y + 20 = -2 Combine like terms: 6x + 4y - 4 = -2

2. 11(1 + x) - 9(7 - y) = -45 Distribute the terms: 11 + 11x - 63 + 9y = -45 Combine like terms: 11x + 9y - 52 = -45

Step 2: Set up the system of equations:

1. 6x + 4y - 4 = -2
2. 11x + 9y - 52 = -45

Step 3: Solve for one variable in terms of the other.

Let's solve equation 1 for y: 6x + 4y - 4 = -2 4y = -2 - 6x + 4 4y = -6x + 2 y = (-6x + 2)/4 y = (-3x + 1)/2

Step 4: Substitute the value of y into equation 2.

11x + 9y - 52 = -45 11x + 9((-3x + 1)/2) - 52 = -45 Multiply through by 2 to eliminate the fraction: 22x - 3x + 1 - 104 = -90 19x - 103 = -90

Step 5: Solve for x.

19x = -90 + 103 19x = 13 x = 13/19

Step 6: Find the value of y.

Now that we have the value of x, let's find y using the equation we derived earlier: y = (-3x + 1)/2 y = (-3 * (13/19) + 1)/2 y = (-39/19 + 19/19)/2 y = (-20/19)/2 y = -20/38 y = -10/19

So, the solution to the system of equations is x = 13/19 and y = -10/19.