Question

2/x+3/x=4 and 3/x+4/y=6

Answer 1

The answer would be (4, -2)

Explanation:

We can use substitution to solve this problem.

Let's use the second equation and manipulate it to be equal to y:

y

=

6

−

2

x

We can then plug in this value for the y value in the first equation, getting the following:

3

x

+

4

(

6

−

2

x

)

=

4

Then we can simplify that equation to equal this;

24

−

5

x

=

4

Then we can solve for the x value,

−

5

x

=

−

20

x

=

4

We can then plug 4 in for x into the other equation

y

=

6

−

2

(

4

)

This shows that y is -2. The point is therefore (4, -2). We can check this by plugging it into the original equations.

Answer link

Answer 2

Step-by-step explanation:

2/x+3/x = 4

2+3/x = 4

5/x = 4

cross multiple

x = 5/4

3/x+4/y = 6

3/5/4+4/y = 6

12/5+4/y = 6

4/y = 6-12/5

4/y = 30-12/5

4/y = 8/5

cross multiple

y = 5/2