2x+y=5;3x-y=5 by elimination method
Answers
Step-by-step explanation:
Here we will use elimination method to solve the given system of an equation.
We have,
3
x
+
y
=
5
................equation 1
x
−
2
y
=
4
..................equation 2
Note: here we have unequal coefficient for both x and y. So we will first make coefficient of either x or y equal.
Here we well make coefficient of y equal by multiplying equation 1 by 2, we get
6
x
+
2
y
=
10
..........equation 3
Now, we have coefficient of y equal with opposite sign, hence it can be eliminated on addition.
Adding equation 2 and 3, we get
x
−
2
y
=
4
6
x
+
2
y
=
10
−
−
−
−
−
7
x
=
14
Now divide both side by 7, we get
or,
x
=
14
7
=
2
Plug the value of x= 2 in equation 1, we get
3
X
2
+
y
=
5
or,
6
+
y
=
5
Subtract 6 on both side, we get
or,
y
=
5
−
6
or.
y
=
−
1
Therefore, the final answer is
x
=
2
and
y
=
−
1
To check the answer, plug
x
=
2
and
y
=
−
1
in above equation and check weather it satisfies or not.
Thanks
Answer:
Heya mate!!
Answer refers in the attachment above.
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