Question

5x-9 y = 74x + 6 y = 32​

Answer 1

Пошаговое объяснение:

Answer 2

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Answer 3

It looks like you have a system of linear equations with two variables, x and y. To solve this system, you can use either the substitution method or the elimination method. I'll show you how to solve it using the elimination method:

Given the system of equations:

1. 5x - 9y = 74
2. 6x + 6y = 32

First, you can multiply the second equation by a constant to make it easier to eliminate one of the variables. Let's multiply the second equation by 3 to make the coefficients of y's in both equations cancel each other out:

1. 5x - 9y = 74
2. 18x + 18y = 96

Now, you can add the two equations together to eliminate y:

(5x - 9y) + (18x + 18y) = 74 + 96

Combine like terms:

5x + 18x - 9y + 18y = 170

23x + 9y = 170

Now you have a single equation in terms of x and y:

23x + 9y = 170

Next, you can solve for one of the variables. Let's solve for y:

9y = 170 - 23x

Now, divide both sides by 9 to isolate y:

y = (170 - 23x)/9

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

5x - 9y = 74

5x - 9[(170 - 23x)/9] = 74

Now, simplify the equation:

5x - 19 - 23x = 74

Combine like terms:

-18x - 19 = 74

Add 19 to both sides:

-18x = 93

Now, divide by -18 to solve for x:

x = -93/18

Simplify the fraction:

x = -31/6

Now that you have found the value of x, you can substitute it back into either of the original equations to find the value of y. Let's use the first equation:

5x - 9y = 74

5(-31/6) - 9y = 74

-155/6 - 9y = 74

Subtract -155/6 from both sides:

-9y = 74 + 155/6

-9y = (444/6) + (155/6)

-9y = 599/6

Now, divide by -9 to solve for y:

y = (599/6) / -9

y = (599/6) * (-1/9)

y = -599/54

Simplify the fraction:

y = -299/27

So, the solution to the system of equations is:

x = -31/6 y = -299/27