4x-3y=11,and 2x+5y=25, substitution method

8 answers

well, 2x = 25-5y

So, use that:

4x-3y = 11
2(2x)-3y = 11
2(25-5y)-3y = 11
50-10y-3y = 11
-13y = -39
y = 3

Now use that to find x.
from the second:
4x + 10y = 50
4x = 50-10y

into the first:
50-10y - 3y = 11
-13y = -39
y = 3

then 4x = 50 - 30
x = 5
Collect
IT IS NOT CORRECT
find x
find x
2x+3y=11
4y-2x=10
From the second equation:

4y - 2x = 10

Rearrange it as:

-2x = -4y + 10

x = 2y - 5

Substitute this value in the first equation:

2(2y - 5) + 3y = 11

4y - 10 + 3y = 11

7y = 21

y = 3

Now substitute y = 3 in the equation x = 2y - 5:

x = 2(3) - 5

x = 1

Therefore, the solutions are x = 1 and y = 3.