2x-3y=11 and 7x+2y=26 substitution method
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1
Answer:
you went to journey to udaipur by bus. write a diary about your experiences and feelings on the journey.
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Answer:
Solve by simultaneous equations:
3
x
−
2
y
=
26
−
7
x
+
3
y
=
−
49
Rearrange
3
x
−
2
y
=
26
to make
x
the subject of the equation:
3
x
=
26
+
2
y
x
=
26
+
2
y
3
Substitute the value of
x
into
−
7
x
+
3
y
=
−
49
:
−
7
⋅
(
26
+
2
y
3
)
+
3
y
=
−
49
−
7
⋅
(
26
3
+
2
y
3
)
+
3
y
=
−
49
Multiply out the brackets:
−
182
3
+
−
14
y
3
+
3
y
=
−
49
Rearrange and place like terms together:
−
14
y
3
+
3
y
=
−
49
+
182
3
Simplify and solve for y:
−
5
y
3
=
35
3
−
5
y
=
35
3
⋅
3
−
5
y
=
35
y
=
35
−
5
y
=
−
7
Use value of y to subsitute into any of the two original equations and solve for x:
3
x
−
2
y
=
26
3
x
−
2
⋅
(
−
7
)
=
26
3
x
+
14
=
26
3
x
=
26
−
14
3
x
=
12
x
=
12
3
x
=
4
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