Question 4 of 19intermediate🔧 ApplyNumerical7 marks

Find the value of each unknown: (a) 2y=602y = 60 (b) −8=5x−3-8 = 5x - 3 (c) −53w=−15-53w = -15 (d) 13−z=813 - z = 8 (e) k+8=12−kk + 8 = 12 - k (f) 7m=m−37m = m - 3 (g) 3n=10+n3n = 10 + n

(a)
Answer

y=30y = 30

(b)
Answer

x=−1x = -1

(c)
Answer

w=1553w = \frac{15}{53}

(d)
Answer

z=5z = 5

(e)
Answer

k=2k = 2

(f)
Answer

m=−12m = -\frac{1}{2}

(g)
Answer

n=5n = 5

Explanation

(a) Divide both sides by 2: y=60÷2=30y = 60 \div 2 = 30. (b) Add 3 to both sides: −5=5x-5 = 5x. Divide by 5: x=−1x = -1. (c) Divide both sides by −53-53: w=−15−53=1553w = \frac{-15}{-53} = \frac{15}{53}. (d) Subtract 13 from both sides: −z=−5-z = -5. Multiply by −1-1: z=5z = 5. Alternatively, z=13−8=5z = 13 - 8 = 5. (e) Add kk to both sides: 2k+8=122k + 8 = 12. Subtract 8: 2k=42k = 4. Divide by 2: k=2k = 2. (f) Subtract mm from both sides: 6m=−36m = -3. Divide by 6: m=−12m = -\frac{1}{2}. (g) Subtract nn from both sides: 2n=102n = 10. Divide by 2: n=5n = 5.