In the system of equations above, g and h are constants. If the system has infinitely many solutions, what is the value of g : h:
2y = - x + 25 and gx = - hy + 100

The given system of equation are

2y = - x + 25 equation(1)

gx = - hy + 100 equation (2)

Equation(1) is multiply by the number is 4

4(2y = -x + 25 )

4x + 8y = 100 equation(3)

Since both equations (2) and (3) are now equal to 100, now set them equal to each other.

Then find the values of g and h

gx + hy = 4x + 8y

So, here g = 4 and h = 8

Now then find the value of g : h

g : h = 4 : 8
g : h = 1 : 2

This is not correct because it is double the correct answer

4 : 8

This is correct because it’s done the correct calculations

1 : 2

This is not correct because it is double the correct answer

8 : 4

This is not correct due to mistake in calculation

2 : 1

Option

B

Can you summarize what you’ve understood in the above steps?