Determine graphically whether the ordered pair (0, 2) is a solution of the following system of equations, and check using algebra. x + 3y= 4
3x+y = -2

Not a solution of the System

Step-by-step explanation:

Plug in 0 for x and 2 for y for both equations.

Note, if only one of the equations is a true statement

(0.2) is not a solution. If either one of the equation is not true, the ordered pair is not a solution.

0+3(2)=4

3*2=6

0+6=6

6≠4

This was only the first equation but it was not true.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.