Question

4x+2y =5,4x -6y =-7; 6x+7y=2,3x -4y= 46.​

Answer 1

Объяснение:

ответ на рисунке...................

Answer 2

To solve this system of linear equations, you can use either the substitution method or the elimination method. I'll show you how to solve it using the elimination method.

System 1:

1. 4x + 2y = 5
2. 4x - 6y = -7

Let's eliminate x by subtracting equation (2) from equation (1):

(4x + 2y) - (4x - 6y) = 5 - (-7)

This simplifies to:

8y = 12

Now, divide both sides by 8 to solve for y:

y = 12 / 8 y = 3/2

Now that we have the value of y, we can substitute it into one of the original equations to solve for x. Let's use equation (1):

4x + 2(3/2) = 5

Simplify:

4x + 3 = 5

Subtract 3 from both sides:

4x = 5 - 3 4x = 2

Now, divide both sides by 4 to solve for x:

x = 2 / 4 x = 1/2

So, in System 1, the solution is x = 1/2 and y = 3/2.

System 2:

1. 6x + 7y = 2
2. 3x - 4y = 46

Similarly, let's eliminate x by multiplying equation (2) by 2 and then subtracting it from equation (1):

(6x + 7y) - 2(3x - 4y) = 2 - 2(46)

This simplifies to:

6x + 7y - 6x + 8y = 2 - 92

Combine like terms:

15y = -90

Now, divide both sides by 15 to solve for y:

y = -90 / 15 y = -6

Now that we have the value of y, substitute it into one of the original equations to solve for x. Let's use equation (1):

6x + 7(-6) = 2

Simplify:

6x - 42 = 2

Add 42 to both sides:

6x = 2 + 42 6x = 44

Now, divide both sides by 6 to solve for x:

x = 44 / 6 x = 22 / 3

So, in System 2, the solution is x = 22/3 and y = -6.