solve the following sets of simultaneous equations 2y-x=0;10x+15y=105
Answers
Answer:
The given equations can be solved by substitution method.
2y−x=0
2y=x
∴x=2y
10x+15y=105 ………….(1)
Substitute x value in (1)
10x+15y=105
⇒10(2y)+15y=105
⇒20y+15y=105
⇒35y=105
⇒y=
35
105
⇒y=3
Sub y=3 in x
x=2y
⇒x=2(3)
⇒x=6
∴x=6 and y=3.
Answer:
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Class 12
>>Applied Mathematics
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>>Solving a Pair of Linear Equations - Substitution Method
>>Solve the simultaneously equations 2y -
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Solve the simultaneously equations 2y−x=0,10x+15y=105
Medium
Solution
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The given equations can be solved by substitution method.
2y−x=0
2y=x
∴x=2y
10x+15y=105 ………….(1)
Substitute x value in (1)
10x+15y=105
⇒10(2y)+15y=105
⇒20y+15y=105
⇒35y=105
⇒y=
35
105
⇒y=3
Sub y=3 in x
x=2y
⇒x=2(3)
⇒x=6
∴x=6 and y=3.
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