Answer:
x = 4; y = 2
Step-by-step explanation:
(1) 3x + 2y = 16
(2) 2x – 2y = 4 Add (1) and (2)
5x = 20 Divide each side by 5
(3) x = 4 Substitute (3) into (2)
2×4 – 2y = 4
8 - 2y = 4 Subtract 16 from each side
-2y = -4 Divide each side by -2
y = 2
Check:
(1) 3×4 + 2×2 = 16
12 + 4 = 16
16 = 16
(2) 2×4 – 2×2 = 4
8 - 4 = 4
4 = 4
The value of x and y by elimination method is 4 and 2 respectively.
Using elimination method solve the following equation.
3x+2y=16
2x-2y = 4
equation is the relationship between variable and represented as is example of polynomial equation.
Here,
3x+2y=16 -----(1)
2x-2y = 4 -----(2)
Adding equation (1) + (2)
3x+2y+2x-2y=16+4
5x=20
x=4
Substitute this x in equation 2
2(4)-2y = 4
-2y = 4-8
-2y=-4
y=2
Thus, The value of x and y by elimination method is 4 and 2 respectively.
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