Question

slove 2x+y=11
X+y=8​

Answer 1

Answer:

Step-by-step explanation:

You have a choice whether you want to substitute for x or y.  I look at both equations and I notice that the second one has 2x + y, so it might be easier to substitute for y.

In the first equation, let's solve for y.     x + y = 8, subtract x from both sides

                                                              y = 8-x

Now in the second equation, use (8-x) in place of y: 2x + y =11, so 2x + (8-x) = 11

Solve for x.  2x -x + 8 =11   Combine x terms

                        x+8 = 11, subtract 8 both sides.

                            x = 3

Now that you know x =3, substitute that in for x in either equation and solve for y. Once you know BOTH x and y, you have the solution.  The coordinate (x,y) represents where the 2 lines will intersect.