Question

2x-7y=15- 8х +3y=24​

Answer 1

Відповідь:

(x,y)=(167/10-91/5)

Пояснення:

Answer 2

To solve the system of equations:

1. 2x - 7y = 15
2. -8x + 3y = 24

You can use the method of substitution or elimination. I'll use the elimination method in this case:

First, multiply both sides of equation (1) by 8 and equation (2) by 2 to make the coefficients of x in both equations equal:

1. 16x - 56y = 120
2. -16x + 6y = 48

Now, add the two equations together to eliminate the x variable:

(16x - 56y) + (-16x + 6y) = 120 + 48

This simplifies to:

-50y = 168

Now, divide both sides by -50 to solve for y:

y = 168 / -50 y = -84 / 25.2

Now that you have the value of y, you can substitute it back into either equation (1) or equation (2) to solve for x. I'll use equation (1):

2x - 7(-84/25.2) = 15

Now, simplify:

2x + 7(84/25.2) = 15

Multiply both sides by 25.2 to get rid of the fraction:

25.2(2x) + 7(84) = 15(25.2)

50.4x + 588 = 378

Subtract 588 from both sides:

50.4x = 378 - 588 50.4x = -210

Now, divide both sides by 50.4 to solve for x:

x = -210 / 50.4 x = -4.1667 (rounded to four decimal places)

So, the solution to the system of equations is:

x ≈ -4.1667 y ≈ -84/25.2 or approximately -3.3333