can some1 help me with the solution??

Question

the question is asking me to solve each system with substitution : x - 2y = 4
2x - 3y = 7

Answer 1

x=4 + 2y
2 (4+2y)-3y=7
8+4y - 3y =7
8+ y =7
y= -1

x - 2(-1)= 4
x+2=4
x = 2

Answer 2

this is how you should solve this problem by substitution:
step 1: write down the equation
x-2y=4 ; 2x-3y=7

step 2: make a choice look for x or y: Lets look for x
first.
x-2y=4
since the 2 before the Y is negative we must add 2 to both sides. Tnis will cancel the -2y leaving the x alone.

X-2Y+2y=4+2y
X-0=4+2Y
X=4 + 2Y

Step 3: Subtitutio to find y

2X-3Y=7
Step 4: Substitute the X with the equation above.

2(4+2Y)-3Y=7
8+4Y-3Y=7
8+Y=7
-8+8+Y=7-8
0+Y= -1
Y= -1

Now you can find X
x-2(-1)=4
x+2=4
X+2-2=4-2
X+0=2
X=2

Your X= 2 and your Y= -1

I hope this help

Answer 3

I love algebra! Sa-weet! Ok, let's see:

Our given equations: A.) x - 2y = 4
B.) 2x - 3y = 7

I labled them A & B for clarification.

Ok, if we're going to use the substitution method, let's use our simpler equation. Let me try to explain (I can already tell this is going to be tricky to explain, but I'll do my best.)

First, let's take a look at equation A. What we want to do is solve for either "x" or "y," getting them onto one side. Let me illustrate:

Given: x - 2y = 4

Step 1. Solve for "x." Get "x" on one side by itself.

So, x - 2y + 2y = 4 + 2y

*Remember, what you do on one side you must do on the other!!

Result: x = 4 + 2y

Now we can begin our substitution since we found the "x-value," that is, "4 + 2y." To substitute, we'll use the equation B and plug in our found "x-value." So this is what it looks like:

Given Equation B.: 2x - 3y = 7

Step 1. Substitute the "x-value." Remember, we found our x-value (4 + 2y).

So, 2(4 + 2y) - 3y = 7

Step 2. Perform calculations.

So, 2(4) + 2(2y) - 3y = 7

**Remember that with parentheses mean multiplication. I'm going to explain the process in words: I multiplied 'x' times the quantity '4+2y.' Don't just multiply 2 times 4, but remember that the 4 is part of the quantity. That's why the '2y' gets mulitplied as well.

So we then get: 8 + 4y - 3y = 7

Now we need to get "y" by itself onto one side, so this is what we'll do:

8 - 8 + 4y - 3y = 7 - 8

What we then get is: y = -1

Now, we have our y-value! To finish our problem, we still need to get the "x" value. Remember that it's still in a formula (4 + 2y). Now we need a number for it, and we can do that with our y-value. Here's what we do.

You can use that simplifed formula for x:

x = 4 + 2y

We'll plug in our 'y-value' of 2.

x = 4 + 2(-1)

Then: x = 4 + (-2)

Therefore, x = 2

So our final answers are: x = 2 and y = -1

You'll want to check these answers. Make sure they work for both equations! Let me know if you need more help.

Answer 4

Start by solving for x using the first equation:
x-2y=4
let's add 2y to each side to get:
x = 4 + 2y.

Now we substitute that expression for x into the section equation:
2x-3y=7 or,
2(4+2y)-3y=7
multiply that out to get:
8 + 4y - 3y = 7
add up the left side:
8+y=7
subtract 8 from each side to find y= -1.

Now since we know y, x is easy. go back to the first equation and plug in -1 for y:
x-2y=4, or
x - (2 * -1) = 4,
multiple out to get:
x + 2 = 4,
subtract two from each side to get:
x = 2.

So... x = 2, y = -1

Answer 5

well what you do is you start by solving for "y"
1. isolate the "x" in th first equation
x=2y+4
2 then you substitute that into the second equation
2(2y+4) - 3y = 7
3. distribute
4y + 8 -3y = 7
4 solve
y + 8 = 7
5. isolate y
y = 7 - 8 = -1
so you know y = -1

6. plug that into the first equation
x - 2(-1) = 4
7. solve
x +2 = 4
8. isolate x
x= 2
so you have y = 1 and x= 2

Answer 6

first:
x-2y=4 ==> x=2y +4
then:
2x-3y=7 ==> 2(2y+4)-3y=7
4y -3y +8 =7
y=7-8=-1
y=(-1)

Answer 7

x=2, y= -1

Answer 8

from equation 1,we have x=4+2y.
now substitute this in equation 2.
2(4+2y)-3y=7
8+y=7
y= -1
but x=4+2y
so, x= 2

Answer 9

x=4 + 2y
2 (4+2y)-3y=7
8+4y - 3y =7
8+ y =7
y= -1

x - 2(-1)= 4
x+2=4
x = 2

Answer 10

13-6=7
2X(13)-3y(6)= 7