Solve the following equations and verify your result
x upon 2+5=6
y+3=8
3y-4=5
y upon 6=1
2m upon 5-1 =3
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Answer:
- (i) x + 3 = 0
- LHS = x + 3
- Put x = 3, we get
- LHS = 3 + 3 = 6 ≠ RHS
- So, the equation is not satisfied.
- (ii) x + 3 = 0
- LHS = x + 3
- Put x = 0, we get
- LHS = 0 + 3 = 3 ≠ RHS
- So, the equation is not satisfied.
- (iii) x + 3 = 0
- LHS = x + 3
- Put x = -3, we get
- LHS = -3 + 3 = 0 = RHS
- So, the equation is satisfied.
- (iv) x - 7 = 1
- LHS = x - 7
- Put x = 7, we get
- LHS = 7 - 7 = 0 ≠ RHS
- So, the equation is not satisfied.
- (v) x - 7 = 1
- LHS = x - 7
- Put x = 8, we get
- LHS = 8 - 7 = 1 = RHS
- So, the equation is satisfied.
- (vi) 5x = 25
- LHS = 5x
- Put x = 0, we get
- LHS = 5 * 0 = 0 ≠ RHS
- So, the equation is not satisfied.
- (vii) 5x = 25
- LHS = 5x
- Put x = 5, we get
- LHS = 5 * 5 = 25 = RHS
- So, the equation is satisfied.
- (viii) 5x = 25
- LHS = 5x
- Put x = -5, we get
- LHS = 5 * (-5) = -25 ≠ RHS
- So, the equation is not satisfied.
- (ix) m/3 = 2
- LHS = m/3
- Put m = -6, we get
- LHS = -6/3 = -2 ≠ RHS
- So, the equation is not satisfied.
- (x) m/3 = 2
- LHS = m/3
- Put m = 0, we get
- LHS = 0/3 = 0 ≠ RHS
- So, the equation is not satisfied.
- (xi) m/3 = 2
- LHS = m/3
- Put m = 6, we get
- LHS = 6/3 = 2 = RHS
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