15(x + 3)-3(x + 9) + 5(x + 6) = 82
Answers
Answer:
x= 76
3
Step-by-step explanation:
(x+3)−3(x+9)+5(x+6)=82
Use the distributive property to multiply −3 by x+9.
x+3−3x−27+5(x+6)=82
Combine x and −3x to get −2x.
−2x+3−27+5(x+6)=82
Subtract 27 from 3 to get −24.
−2x−24+5(x+6)=82
Use the distributive property to multiply 5 by x+6.
−2x−24+5x+30=82
Combine −2x and 5x to get 3x.
3x−24+30=82
Add −24 and 30 to get 6.
3x+6=82
Subtract 6 from both sides.
3x=82−6
Subtract 6 from 82 to get 76.
3x=76
Divide both sides by 3.
Answer:
(i) x + 3 = 0
L.H.S. = x + 3
By putting x = 3,
L.H.S. = 3 + 3 = 6 ≠ R.H.S.
∴ No, the equation is not satisfied.
(ii) x + 3 = 0
L.H.S. = x + 3
By putting x = 0,
L.H.S. = 0 + 3 = 3 ≠ R.H.S.
∴ No, the equation is not satisfied.
(iii) x + 3 = 0
L.H.S. = x + 3
By putting x = −3,
L.H.S. = − 3 + 3 = 0 = R.H.S.
∴ Yes, the equation is satisfied.
(iv) x − 7 = 1
L.H.S. = x − 7
By putting x = 7,
L.H.S. = 7 − 7 = 0 ≠ R.H.S.
∴ No, the equation is not satisfied.
(v) x − 7 = 1
L.H.S. = x − 7
By putting x = 8,
L.H.S. = 8 − 7 = 1 = R.H.S.
∴ Yes, the equation is satisfied.
(vi) 5x = 25
L.H.S. = 5x
By putting x = 0,
L.H.S. = 5 × 0 = 0 ≠ R.H.S.
∴ No, the equation is not satisfied.
(vii) 5x = 25
L.H.S. = 5x
By putting x = 5,
L.H.S. = 5 × 5 = 25 = R.H.S.
∴ Yes, the equation is satisfied.
(viii) 5x = 25
L.H.S. = 5x
By putting x = −5,
L.H.S. = 5 × (−5) = −25 ≠ R.H.S.
∴ No, the equation is not satisfied