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Mathematics 21 Online
bella2025:

y+2=3(x-1) y=-2x+10

mhanifa:

What is the question?

bella2025:

@mhanifa wrote:
What is the question?
y+2=3(x-1) y=-2x+10 I need help finding the solution

mhanifa:

Do you have an idea how to find it?

bella2025:

@mhanifa wrote:
Do you have an idea how to find it?
plug in -2x+10 for y I think

mhanifa:

Yes, good plan. Can you continue from there?

bella2025:

-2x+10+2=3(x-1)

mhanifa:

Then?

bella2025:

-2x+10+2=3x-3

mhanifa:

Good, keep going

bella2025:

-2x+12=3x-3

mhanifa:

Great. Keep going and let me know if you need any help. Looks like you don't need

bella2025:

@mhanifa wrote:
Great. Keep going and let me know if you need any help. Looks like you don't need
I dont know what to do after this is where I get stuck

mhanifa:

Here you need to collect like terms. Add 2x to both sides and then add 3 to both sides of equation

bella2025:

@mhanifa wrote:
Here you need to collect like terms. Add 2x to both sides and then add 3 to both sides of equation
how do I do that there are no like terms on the same side of the equation

mhanifa:

-2x + 12 + 2x = 3x - 3 + 2x >>> 12 = 5x - 3 >>> 12 + 3 = 5x - 3 + 3 Now it should be easier to continue

bella2025:

@mhanifa wrote:
-2x + 12 + 2x = 3x - 3 + 2x >>> 12 = 5x - 3 >>> 12 + 3 = 5x - 3 + 3 Now it should be easier to continue
im still confused

mhanifa:

You add 2x to both sides, it cancels -2x on left side, right?

bella2025:

-2x+12=3x-3 yeah but then do you add it to both the 3x and the -3 or just the 3x

mhanifa:

Lets finish the first step, what you get after adding 2x?

bella2025:

@mhanifa wrote:
Lets finish the first step, what you get after adding 2x?
12=3x-3

mhanifa:

Good, now we need to cancel -3 on the right. Add 3 to both sides, what you get?

bella2025:

15=3x

mhanifa:

Ok but it was wrong on previous one: 12 = 5x - 3 Now 15 = 5x

mhanifa:

Do you see why?

bella2025:

yeah so x =3

mhanifa:

Now find y

bella2025:

y+2=3(3-1) y+2=9-3

mhanifa:

And?

bella2025:

idk what to do next

mhanifa:

y + 2 = 6 y = 6 - 2 y = 4

bella2025:

@mhanifa wrote:
y + 2 = 6 y = 6 - 2 y = 4
im so confused on where 6 came from

mhanifa:

9 - 3 = 6

bella2025:

@mhanifa wrote:
9 - 3 = 6
oh ok so y =4

mhanifa:

You would better use the second equation: y=-2x+10 y = -2(3) + 10 y = - 6 + 10 y = 4

bella2025:

@mhanifa wrote:
You would better use the second equation: y=-2x+10 y = -2(3) + 10 y = - 6 + 10 y = 4
thank you

mhanifa:

You are welcome!

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