Question

Find the value of x and
y if x-y=3 and 2x+3y=4​

Answer 1

Answer:

Step-by-step explanation:

Given :

x-y = 3                                equation(i)

2x + 3y = 4                           equation(ii)

Now,

x - y = 3

x = 3 + y

substitute the value of x in equation (ii)

2x + 3y = 4

2(3 + y) + 3y = 4

6 + 2y + 3y = 4

6 + 5y = 4

y = -2/5

Answer 2

x-y=3

2x+3y=4

Using elimination we can multiply the top equation by -2 to Eliminate the x values. Doing this gives us

-2(x-y)= -2(3)

Simplifying we have

-2x+2y=-6
And then adding the second equation, we can have a system of two equations where the x eliminates

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

Adding we get that

5y=-2

Dividing by 5 on both sides gives us y=-2/5

We can substitute this y term in for the first equation. Doing so we have

x-(-2/5)=3

using the a-(-b)=a+b rule we get

x+2/5=3

Thus x=3- 2/5

So using a calculator we can say that x=13/5.

Thus your answers are x=13/5 and y=-2/5

I hope this helps!! Mark for brainliest