Question

Solve the system of equations.

2x + 3y = 6
x + y = 4

Answer 1

@.Sam.

Answer 2

Would you like to solve using substitution or elimination?

Answer 3

it doesn't say it just says solve

Answer 4

what do u want to use?

Answer 5

I know, so which method would like to use to solve?

Answer 6

elimination

Answer 7

Multiply everything in the second equation by -2 to eliminate x

-2(x + y = 4)

Answer 8

so that would make it -2x+2y=-8

Answer 9

2x + 3y = 6
-2x - 2y = -8

You would add those equations together

2x + -2x = ?

3y + -2y = ?

6 + -8 = ?

Answer 10

-2

Answer 11

for all of them?

Answer 12

x
1y
-2

Answer 13

2x + -2x = 0
so we eliminated x

the others are correct

so we have y = -2

Answer 14

So for the solution, we have (? , -2)

Now we need to find x

Answer 15

To do that, you can chose any of the 2 equations and out -2 instead of y and solve for x

Answer 16

2x+3(-2)=6

Answer 17

Yes good :)

Now 3 * -2 = ?

Answer 18

-6

Answer 19

Ok so we have

2x - 6 = 6

Can you solve for x?

Answer 20

x=6 is that correct

Answer 21

Correct

so for x we have 6 and y we have -2

The solution would be (6, -2)

Answer 22

thank you so much for the help

Answer 23

You're welcome :)