What is the best approximation of the solution to the system to the nearest integer values? (−2, 6) (7, −2) (6, −2) (−2, 7)

(-2,6)

Step-by-step explanation:

The solution to a system of equations is where the two graphs intersection.  By looking at the graph we can see that they cross at an x coordinate of approximately -2.4 and  at a y coordinate of just above 6.  We do not have to be too specific since we just have to be to the nearest integer.

(-2,6)

(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

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .