solve the simultaneous equation y=x/2 2x-y=1
Answers
Answer:
One way is to use the method of elimination.
Step 1. Enter the equations.
[1]
y
=
x
2
+
3
x
[2]
y
=
6
−
2
x
Step 2. Solve for one of the variables in terms of the other.
[2]
y
=
6
−
2
x
Since this is already done for us, we can go on to the next step.
Step 3. Substitute Equation 2 in Equation 1 and solve for
x
.
6
−
2
x
=
x
2
+
3
x
x
2
+
5
x
−
6
=
0
(
x
+
6
)
(
x
−
1
)
=
0
x
+
6
=
0
and
x
−
1
=
0
x
=
−
6
and
x
−
1
Step4. Substitute each value of
x
in Equation 2
If
x
=
−
6
,
y
=
6
−
2
(
−
6
)
=
6
+
12
y
=
18
If
x
=
1
,
y
=
6
−
2
(
1
)
=
6
−
2
y
=
4
Solutions:
x
=
−
6
,
y
=
18
and
x
=
1
,
y
=
4
Check: Substitute the values of
x
and
y
in Equations 1 and 2.
Check **
1
∗
:
(
-6,18#)
18
=
(
−
6
)
2
+
3
(
−
6
)
18
=
36
−
18
18
=
18
18
=
6
−
2
(
−
6
)
18
=
6
+
12
18
=
18
It checks!
It checks!
Our solutions are correct.
Given :- the value of y=x/2
putting the value of y:-