x+4y =11 and 2x+5y =-4
(Substitution method)
Answers
Answer:
Explanation:
Step 1) Solve the first equation for
x
:
x
+
4
y
−
4
y
=
8
−
4
y
x
+
0
=
8
−
4
y
x
=
8
−
4
y
Step 2) Substitute
8
−
4
y
for
x
in the second equation and solve for
y
:
2
x
−
5
y
=
29
becomes:
2
(
8
−
4
y
)
−
5
y
=
29
(
2
×
8
)
−
(
2
×
4
y
)
−
5
y
=
29
16
−
8
y
−
5
y
=
29
16
−
13
y
=
29
−
16
+
16
−
13
y
=
−
16
+
29
0
−
13
y
=
13
−
13
y
=
13
−
13
y
−
13
=
13
−
13
−
13
y
−
13
=
−
1
y
=
−
1
Step 3) Substitute
−
1
for
y
in the solution to the first equation at the end of Step 1 and calculate
x
:
x
=
8
−
4
y
becomes:
x
=
8
−
(
4
×
−
1
)
x
=
8
−
(
−
4
)
x
=
8
+
4
x
=
12
The solution is
x
=
12
and
y
=
−
1
or
(
12
,
−
1
)
Step-by-step explanation:
Answer:
x=33/104, y=26/3
Step-by-step explanation:
x+4y=11×2=> 2x+8y=22
2x+8y=22 - [2x+5y=-4]
=3y=26
= y=26/3
x+4(26/3)=11
=x=11×3/104
=x=33/104