How many solutions can be found for the system of liner equations represented on the graph

There are infinitely many solutions ⇒ D

Step-by-step explanation:

Let us check our question

∵ The equations of the system are y = x + 2 and -3x + 3y = 6

→ Simplify the 2nd equation

∵ -3x + 3y = 6 → Divide both sides by 3

∴ -x + y = 2

→ Add x to both sides

∵ -x + x + y = 2 + x

∴ y = x + 2

∵ The simplest forms of the equations equal

∵ They are represented graphically by two lines over each other

∴ The system of equations has an infinite number of solutions

∴ There are infinitely many solutions.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1