The model represents an equation. What value of x makes the equation true?
A) 9
B) 9/4
C) −9
D) − 9/4

Answer:
Step-by-step explanation:
According to the diagram, there are 5 x's in and 8 of negative 1 in the left hand side of the equation. This is represented mathematically as;
= 5x+8(-1)
= 5x - 8 .............. 1
In the right hand side, there are 3 of -x's and 1 in 10 places. This is also expressed as;
= -3x+1(10)
= -3x+10 ............ 2
Equate 1 and 2 and find x
5x-8 = -3x+10
add 7 to both sides
5x-8+8 = -3x+10+8
5x = -3x+18
add 3x from both sides
5x+3x = -3x+18+3x
8x = 18
x = 18/8
x = 9/4
Hence the value of x that makes the equation true is 9/4