Classify the linear system shown on the graph. what is the correct classification?
y=6x-7
y=-3x+8
coincident
inconsistent
consistent dependent
consistent independent

The given system of equations are consistent and independent

Solution:

Given system of equations are:

y = 6x - 7 ----- eqn 1

y = -3x + 8 -------- eqn 2

We have to classify the given system of equations

Let us first solve both the equations

Substitute eqn 2 in eqn 1

-3x + 8 = 6x - 7

Move the variables to one side and constants to other side

Now substitute the above value of "x" in eqn 1

Thus the given system of equations has only one solution

If a system has at least one solution, it is said to be consistent.

If a consistent system has exactly one solution, it is independent

So the given system of equations are consistent and independent

i need a picture

step-by-step explanation: