Solve by substitution method x - 3y = 7 and 3x - 3y = 15 Please answer this question fast!!!!
Answers
Answer:
GIVEN EQUATIONS :–
X - 3 Y = 7 .......(1)
3 X - 3 Y = 15 .......(2)
• GET THE VALUE OF 3 Y FROM EQUATION (1) AND PUT IN EQUATION (2)....
=》 3 X - ( X - 7 ) = 15
=》 2 X = 8
=》 X = 4
• NOW PUT THE VALUE OF 'X' IN EQUATION (1)...
=》 Y = 1
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The value of x is 4 and y is -3 by the substitution method
Step-by-step explanation:
Given:
equations are x-3y = 7 & 3x-3y= 15
To find:
solve by substitution method
Solution:
Let, x-3y = 7 .........(i) &
3x-3y= 15.............(ii)
Now, subtracting equation (i) from (ii)
3x - 3y= 15
x - 3y = 7
(-) (+) (-)
2x = 8 .................(like terms 3y being eliminated)
∴ 2x = 8
∴ x = 8/2
∴ x = 4
Substituting the value of x in equation (ii)
3x - 3y = 15
∴ 3 (4) - 3y = 15
∴ 12 - 3y = 15
∴ -3y = 15 -12
∴ -3y = 3
∴ y = -3
Thus, the solution for the given equations is x = 4 & y = -3
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