How many solutions are there to the equation below? 4x-9(x+ 1) = 20- 5x
OA. 1
O B. 0
OC. Infinitely many

no solution

Step-by-step explanation:

heres why:

Let's solve your equation step-by-step.

4x−9(x+1)=20−5x

Step 1: Simplify both sides of the equation.

4x−9(x+1)=20−5x

4x+(−9)(x)+(−9)(1)=20+−5x(Distribute)

4x+−9x+−9=20+−5x

(4x+−9x)+(−9)=−5x+20(Combine Like Terms)

−5x+−9=−5x+20

−5x−9=−5x+20

Step 2: Add 5x to both sides.

−5x−9+5x=−5x+20+5x

−9=20

Step 3: Add 9 to both sides.

−9+9=20+9

0=29

so there are no solution

B) 5 units lower.

Step-by-step explanation:

We have been given that Oliver has graphed the equation and Marie graphs . We are asked to find where Marie's graph will be with relation to Oliver's graph.

We can see that both lines are in slope-intercept form of equation: , where,

m = Slope of the line,

b = Initial value or y-intercept.

We can see that both lines have same slope, but y-intercepts for both lines are different.

Since y-intercept is the point, where line crosses y-axis. We can see that Oliver's line will cross y-axis at y=2, while Marie's line crosses y-axis at y=-3.

Since -3 is 5 units below from 2, therefore, y-intercept of Marie's graph be 5 units lower than Oliver's graph and option B is the correct choice.