Solve the system of equations: y=4x-3, y=-2x+9

y= 5

x= 2

Step-by-step explanation:

y = 4x - 3 ... (1)

y= -2x +9 (2)

Multiply equation (2) by 2

It becomes;

2y = -4x +18 ...(3)

Add equation (3) and (1)

It becomes;

3y = 15

y = 5.

Substitute y = 5 in equation (1)

It becomes;

5 = 4x -3

Collecting like terms:

4x = 5 + 3

4x = 8

x = 8/4

x = 2

b is the final answer! : )

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)