Question

The model represents an equation. What value of x makes the equation true?

Answer 1

Answer:

B. 9/4

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