Question

B)5x - 2y = 3,7x + 2y = 9;1)-3x + 5y = 10,3x + y = 14.​

Answer 1

Объяснение:

5x-2y=3

5x=3+2y

Разделить обе стороны на пять и получишь 5x:5=(3+2y):5

x=(3+2y):5

X=3:5+2y:5

X=в дробях 3/5+2/5y

Answer 2

To solve this system of equations, you can use the method of elimination. The goal is to eliminate one variable by adding or subtracting the equations so that you can easily solve for the other variable. Let's solve each system of equations separately:

A) 5x - 2y = 3 7x + 2y = 9

First, we can add the two equations to eliminate the variable 'y':

(5x - 2y) + (7x + 2y) = 3 + 9

Combine like terms:

12x = 12

Now, divide both sides by 12 to solve for 'x':

x = 12 / 12 x = 1

Now that you've found the value of 'x', you can substitute it back into one of the original equations to solve for 'y'. Let's use the first equation:

5x - 2y = 3 5(1) - 2y = 3 5 - 2y = 3

Subtract 5 from both sides:

-2y = 3 - 5 -2y = -2

Now, divide both sides by -2 to solve for 'y':

y = -2 / -2 y = 1

So, the solution to system A) is: x = 1 y = 1

B) -3x + 5y = 10 3x + y = 14

In this system, you can see that if you add the two equations, the 'x' variable will be eliminated:

(-3x + 5y) + (3x + y) = 10 + 14

Combine like terms:

4y = 24

Now, divide both sides by 4 to solve for 'y':

y = 24 / 4 y = 6

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

3x + y = 14 3x + 6 = 14

Subtract 6 from both sides:

3x = 14 - 6 3x = 8

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

x = 8 / 3

So, the solution to system B) is: x = 8/3 y = 6

Now you have the solutions for both systems of equations:

A) x = 1, y = 1 B) x = 8/3, y = 6