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