using the given equations ,first take value of x in terms of y and then substitute for x in equation 2
rest see the picture
Answer:
x = 3 , y = 2
Step-by-step explanation:
x + 2y = -1 --------------(i)
2x - 3y = 12 -------------(ii)
Solving Equation (i) , we get
x = -1 - 2y
x = -(1 + 2y)--------------(iii) [Taking Minus Common]
Putting Value of Equation (iii) in Equation (i) , we get
2(- 1 - 2y) - 3y = 12
-2(1 + 2y) - 3y = 12 [Taking Minus Common ]
(-2 - 4y) - 3y = 12
-2 - 4y - 3y = 12
-7y = 12 + 2
-7y = 14
-y = 14 ÷ 7
-y = 2
y = -2 ------------------(iv)
Putting value of (iv) in Equation (i) , we get
x + 2(-2) = -1
x - 4 = -1
x = -1 + 4
x = 3 ---------------------(v)
Hence , by (iv) and (v) ,
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using the given equations ,first take value of x in terms of y and then substitute for x in equation 2
rest see the picture
Answer:
x = 3 , y = 2
Step-by-step explanation:
x + 2y = -1 --------------(i)
2x - 3y = 12 -------------(ii)
Solving Equation (i) , we get
x = -1 - 2y
x = -(1 + 2y)--------------(iii) [Taking Minus Common]
Putting Value of Equation (iii) in Equation (i) , we get
2(- 1 - 2y) - 3y = 12
-2(1 + 2y) - 3y = 12 [Taking Minus Common ]
(-2 - 4y) - 3y = 12
-2 - 4y - 3y = 12
-7y = 12 + 2
-7y = 14
-y = 14 ÷ 7
-y = 2
y = -2 ------------------(iv)
Putting value of (iv) in Equation (i) , we get
x + 2(-2) = -1
x - 4 = -1
x = -1 + 4
x = 3 ---------------------(v)
Hence , by (iv) and (v) ,
x = 3 , y = 2
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