171k views
4 votes
Find the value of x and y in x+3=y,3y-4=2x

User Chen Hirsh
by
7.1k points

1 Answer

2 votes

Answer:

the solution to the given system of equations is:

x = -5 and y = -2.

Explanation:

We have two equations:

x + 3 = y ...(1)

3y - 4 = 2x ...(2)

From equation (1), we can write:

x = y - 3

Substituting this value of x in equation (2), we get:

3y - 4 = 2(y - 3)

Simplifying this equation, we get:

3y - 4 = 2y - 6

Subtracting 2y from both sides, we get:

y - 4 = -6

Adding 4 to both sides, we get:

y = -2

Substituting this value of y in equation (1), we get:

x + 3 = -2

Subtracting 3 from both sides, we get:

x = -5

Therefore, the solution to the given system of equations is:

x = -5 and y = -2.

User Doug Coburn
by
6.8k points