Question

Solve the system of equations. Show your work to help me understand, please?

x + 2y = 5

3x + 2y = 17

Answer 1

okay you see 2y in both equations, what can you do?

Answer 2

subsitution method? I'm honestly not too sure, im bad at this

Answer 3

Subtract 2y so it will say x=-2y+5
Plug in -2y+ 5 for x in 3x+2y=17
So 3(-2y+5)+2y=17

Rest should be easy

Answer 4

you can also use the elimination method to subtract equation 2 from equation 1 to get

x + 2y = 5
3x + 2y = 17
-------------
-2x + 0y = -12


-2x = -12

Answer 5

1.
Simplifying
x + 2y = 5

Solving
x + 2y = 5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.
x + 2y + -2y = 5 + -2y

Combine like terms: 2y + -2y = 0
x + 0 = 5 + -2y
x = 5 + -2y

Simplifying
x = 5 + -2y

2.
Simplifying
3x + 2y = 17

Solving
3x + 2y = 17

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.
3x + 2y + -2y = 17 + -2y

Combine like terms: 2y + -2y = 0
3x + 0 = 17 + -2y
3x = 17 + -2y

Divide each side by '3'.
x = 5.666666667 + -0.6666666667y

Simplifying
x = 5.666666667 + -0.6666666667y

hope this helps!

Answer 6

now solve -2x = -12 for x

once you have the value of x, you can use this to find y

Answer 7

@mirandabell902 is this a good explanation?

Answer 8

Yes, thank you

Answer 9

If you have anymore questions fan me pls.