Solve the following equations

4x – 3 = 3x + y = 2y + 5x – 12

from 4x – 3 = 3x + y

y = x - 3 **

plug ** into 3x + y = 2y + 5x – 12

3x + x-3 = 2(x-3) + 5x - 12
4x - 3 = 2x - 6 + 5x - 12
4x-3 = 7x - 18
-3x = -15
x = 5
then y = 5-3 = 2

Sum of interior angles in a polygon=(2n-4)x90°

Sum of interior angle in a hexagon=720°[6 sides]
(2n-4)x90°
(2(6)-4)x90°
12-4x90°
8x90°=720°÷6
=120°

Thanks

Given a regular hexagon, calculate each interior angle of the hexagon

120

degrees.

To solve the given system of equations, let's start by simplifying each equation and combining like terms.

1) 4x - 3 = 3x + y
-3x from both sides to isolate the variables:
4x - 3 - 3x = y
x - 3 = y

2) 3x + y = 2y + 5x - 12
Combine like terms:
3x - 5x + y - 2y = -12
-2x - y = -12

Now we have a system of two linear equations:
1) x - 3 = y
2) -2x - y = -12

To solve this type of system, we can use either substitution or elimination method. Let's use the substitution method.

1) x - 3 = y

Plug the value of y from equation 1 into equation 2:
-2x - (x - 3) = -12

Simplifying:
-2x - x + 3 = -12
-3x + 3 = -12

To isolate x, we'll subtract 3 from both sides:
-3x = -15

Divide both sides by -3 to solve for x:
x = -15 / -3
x = 5

Now substitute the value of x back into equation 1 to solve for y:
5 - 3 = y
2 = y

Therefore, the solution to the system of equations is:
x = 5
y = 2