Nita graphed the system of equations on the graph below. y = negative 3 (x + 2). Y = negative 3 x minus 6.

On a coordinate plane, a line goes through (negative 2, 0) and (negative 1, negative 3).

Which explains why there is only one line?
Each has a slope of –3 and a y-intercept of –6, so the system has infinitely many solutions.
Each has a slope of –3 and a y-intercept of –6, so the system has no solution.
Each has a slope of –3, but one has a y-intercept of 2 and the other has a y-intercept of –6. So, the system has infinitely many solutions.
Each has a slope of –3, but one has a y-intercept of 2 and the other has a y-intercept of –6. So, the system has no solution.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

given hc ∥ gd.¯¯¯¯¯¯which statement is true

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles

2

step-by-step explanation: