Solve using substitution method
2x+3y=23
4x+y=21
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Solve using substitution method 2x+3y=23 4x+y=21
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Answer:
x = 4 & y = 5
Step-by-step explanation:
(2x + 3y = 23) × 2
(4x + y = 21) × 1
This done to equalize the equations
4x + 6y = 46 - ( i )
4x + y = 21 - ( ii )
On subtracting equation ( ii ) from equation ( i )
4x + 6y = 46
4x + y = 21
- - -
-------------------
0 + 5y = 25
5y = 25
y = 25/5
y = 5
Equating y = 5 in equation ( ii )
4x + y = 21
4x + 5 = 21
4x = 21 - 5
4x = 16
x = 16÷4
x = 4
You can check the answer by putting the values in the other equation as well
2x + 3y = 23
2*4 + 3*5 = 8+ 15 = 23