Question

- 5x-2a +4 = а+.x+3 и -х+3а +3 = 5x-2a-3.

Answer 1

-5х-2а+4=а+х+3}

-х+3а+3=5х-2а-3}

6х+3а=1

-

6х-5а=0

8а=1

А=1:8

6х+3=1

6х=2

Х=1:3

Answer 2

To solve this system of equations:

1. -5x - 2a + 4 = a + x + 3
2. -x + 3a + 3 = 5x - 2a - 3

Let's isolate one variable in one of the equations and substitute it into the other equation. We can start by isolating x in equation 1:

From equation 1: -5x - 2a + 4 = a + x + 3

Rearrange it to isolate x: -5x - x = a - 2a + 3 - 4 -6x = -a - 1

Now, divide both sides by -6 to find the value of x: x = (-a - 1)/(-6) x = (a + 1)/6

Now that we have the expression for x, we can substitute it into equation 2:

-x + 3a + 3 = 5x - 2a - 3

Substitute the expression for x: -[(a + 1)/6] + 3a + 3 = 5[(a + 1)/6] - 2a - 3

Now, let's solve for a:

-(a + 1)/6 + 3a + 3 = 5(a + 1)/6 - 2a - 3

First, clear fractions by multiplying both sides by 6:

-a - 1 + 18a + 18 = 5(a + 1) - 12a - 18

Now, distribute on both sides:

-a - 1 + 18a + 18 = 5a + 5 - 12a - 18

Combine like terms:

17a + 17 = -7a - 13

Now, isolate a by moving all the terms with a to one side:

17a + 7a = -13 - 17

Combine like terms:

24a = -30

Finally, divide by 24 to solve for a:

a = -30 / 24 a = -5/4

Now that we have found the values of both x and a, you can substitute them back into either equation 1 or 2 to find the value of x or check the solution.