Question

Choose the graph which matches the following system of equations.

x + 2y = 5
3x – 2y = –9

Answer 1

you could solve the system by adding the equations, the solution should be where they intersect on the graph

Answer 2

How do you add the equations?

Answer 3

x + 2y = 5
3x – 2y = –9


add the left hand sides, and the right hand sides

(x + 2y) + (3x – 2y) = (5) + (-9)

Answer 4

so 4x =-4?? do they ys cancel out

Answer 5

yes we added the equations specifically Because it would make the y's cancel ,

now you can solve for x

Answer 6

so x = -1

Answer 7

good stuff,

now you have x, sub it back into one of the equations

(-1) + 2y = 5


and solve for y

Answer 8

y=3?

Answer 9

very good

The solution to the system is (x,y)

Answer 10

So it would be the first graph?

Answer 11

(-1,3)

Answer 12

\[\boxed{\huge\color{red}\checkmark}%unk\]

Answer 13

thank you!

Answer 14

yes because the first graphs lines intersects there