2x-y=3;3x+y=7 solve by substitution
Answers
Given:
2x - y = 3 ..... (i)
3x + y = 7 ....... (ii)
To find:
Solve by substitution
Solution:
We have equation (i) as,
2x - y = 3
⇒ y = 2x - 3 ..... (iii)
On substituting equation (iii) in equation (ii), we get
3x + y = 7
⇒ 3x + 2x - 3 = 7
⇒ 5x - 3 = 7
⇒ 5x = 7 +3
⇒ 5x = 10
⇒ x =
⇒ x = 2
Now, on substituting the value of x in eq. (iii), we get
y = 2x - 3
⇒ y = 2(2) - 3
⇒ y = 4 - 3
⇒ y = 1
Thus, by substitution method, we get,
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Given,
The two equations are
2x-y = 3
3x+y = 7
To find,
The value of "x" and "y" using substitution method.
Solution,
We can easily solve this mathematical problem by using the following mathematical process.
From the second equation,
3x+y = 7
y = 7-3x
Substituting the value of "y" into first equation,
2x - (7-3x) = 3
2x-7+3x = 3
5x = 10
x = 2
Putting value of "x" into second equation,
(3×2)+y = 7
6+y = 7
y = 1
Hence, the final answer will be x=2 and y=1