Solve the system of equation by graphing : y=x+3 , 2x+y= -6 : also how do you know if it’s substitution or elimination?

Either would work, but substitution looks a bit easier.

The graph for these two is shown below.

I just put the equations in just as they are written. They did not have to be changed in any way. DESMOS is a wonderful program. Very powerful.

The blue line is 2x + y = - 6

The red line is y = x + 3

The best way to solve this other than a graph is to use substitution. Put the red graph into the blue one.

2x + y = - 6

2x +(x + 3) = - 6

2x + x + 3 = - 6

3x + 3 = - 6 Subtract 3 from both sides.

3x = - 6 - 3

3x = - 9

x = -9/3

x = -3

Now go back and solve for y

y = x + 3

y = -3 + 3

y = 0

Answer

The solution point is (-3,0) just what the graph shows.

answer: r there any options?

step-by-step explanation:

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: