Question

2)y-8x=-33,7 x - y=29​

Answer 1

3. Жай бөлшектерді шексіз периодты ондық бөлшектер түрінде көрсетіңіз:

Answer 2

To solve this system of equations:

1. y - 8x = -33
2. 7x - y = 29

You can use the method of substitution or elimination. I'll demonstrate the elimination method:

First, add the two equations together to eliminate the variable y:

(y - 8x) + (7x - y) = (-33) + 29

This simplifies to:

-y - 8x + 7x = -4

Now, combine like terms:

-y - x = -4

Next, isolate y by multiplying both sides by -1:

y + x = 4

Now, you have a new equation:

1. y + x = 4

Now, let's use this equation to solve for one of the variables. You can solve for y in terms of x:

y = 4 - x

Now that you have an expression for y, you can substitute it into one of the original equations to solve for x. Let's use the first equation:

1. y - 8x = -33

Substitute the expression for y:

(4 - x) - 8x = -33

Now, simplify and solve for x:

4 - x - 8x = -33

Combine like terms:

-9x + 4 = -33

Subtract 4 from both sides:

-9x = -33 - 4 -9x = -37

Now, divide by -9 to solve for x:

x = (-37) / (-9) x = 37/9

Now that you have the value of x, you can substitute it back into the equation for y:

y = 4 - x y = 4 - (37/9)

To simplify the fraction, you can convert 4 to a fraction with a common denominator of 9:

y = (36/9) - (37/9)

Now subtract the fractions:

y = (-1/9)

So, the solution to the system of equations is:

x = 37/9 y = -1/9