Solve the simultaneous equations! PLEASE HELP!?

2y + 3x = 6

-4y + x = 16

now, multiply the top equation by 2, so you can cancel out the y and get what x equals.

4y + 6x = 12

-4y + x = 16

add the equations and solve for x

0 + 7x = 28

x=28/7

x=4

Now plug in x to one of the equations to get y

(plugged into the top original equation you wrote)

2y + 3(4) = 6

solve for y

2y + 12 = 6

2y = 6-12

2y = -6

y=-6/2

y= -3

I hope this helps!

2y + 3x = 6

x = 4y + 16

goes to

3x + 2y = 6

x - 4y = 16

Multiply eq. 1 by 2, and add the equations:

6x + 4y = 12

+ x - 4y = 16

-------------------

7x + 0 = 28

x = 28/7 = 4

Plug back into 1 of the original equations:

2y+3x=6

2y+3(4)=6

2y+12=6

2y=6-12=-6

2y=-6

y=-6/2

y=-3

You are correct!

3x + 2y = 6

x - 4y = 16

6x + 4y = 12

x - 4y = 16----ADD

7x = 28

x = 4

12 + 2y = 6

2y = - 6

y = - 3

x = 4 , y = - 3

since you have an equation for x, plug that into the first equation every time you see an x

2y + 3(4y+16)=6 plug in equation for x

....2y+12y+48=6 add like terms

.........14y+48=6 subtract each side by 48

...............-48-48

...............14y=-42 divide both sides by 14

...............-----.,-----

................14....14

..................y=-3

now that you have a value for y, plug that into one of the original equation and solve for x!

x = 4y + 16

x = 4(-3)+16

x = -12 + 16

x = 4