Question

(2x - y = 66x + y = 14​

Answer 1

Ответ:

Путем сложения:

8x=20

x=20/8

x=5/2

x=2,5

2•2,5-y=6

5-y=6

-y=1

y=-1

(2-5;-1)

Answer 2

You've provided a system of two equations with two variables:

1. 2x - y = 66
2. x + y = 14

You can solve this system of equations using either the substitution method or the elimination method. I'll demonstrate the elimination method here:

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

(2x - y) + (x + y) = 66 + 14

This simplifies to:

3x = 80

Now, divide both sides by 3 to solve for x:

3x/3 = 80/3 x = 80/3

Now that we have the value of x, we can substitute it into one of the original equations to solve for y. Let's use the second equation:

x + y = 14

(80/3) + y = 14

To isolate y, subtract 80/3 from both sides:

y = 14 - 80/3

To work with a common denominator, convert 14 to a fraction with a denominator of 3:

y = (42/3) - (80/3)

Now subtract the fractions:

y = (42 - 80)/3

y = (-38)/3

So, the solution to the system of equations is:

x = 80/3 y = -38/3