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alekssr [168]
3 years ago
11

Make x the subject of these equations.

Mathematics
2 answers:
shepuryov [24]3 years ago
8 0

(1)a(x + b) = c \\ ax + ab = c \\ ax = c - ab \\  \frac{ax}{a } =  \frac{c - ab}{a}   \\ x =  \frac{c - ab}{a}

(2)8(x + a) = b \\ 8x + 8a = b \\ 8x = b - 8a \\  \frac{8x}{8}  =  \frac{b - 8a}{8}  \\ x =  \frac{b - 8a}{8}

(3)a(x - 7) = b \\ ax - 7a = b \\ ax = b + 7a \\  \frac{ax}{a}  =  \frac{b + 7a}{a}  \\ x =  \frac{b + 7a}{a}

(4)c(2  + x) = 6 \\ 2c + cx = 6 \\ cx = 6 - 2c \\  \frac{cx}{c}  =  \frac{6 - 2c}{c}  \\ x =  \frac{6 - 2c}{c}

Murrr4er [49]3 years ago
8 0
A(x+b)=c
Open bracket: ax+ab=c
ax=c-ab
Divide both sides by a to make x subject of formula
x=c-ab/a
x=c-b

8(x+a)=b
8x+8a=b
8x=b-8a
x=b-8a/8
x=b-a

a(x-7)=b
ax-7a=b
ax=b+7a
x=b+7a/a
x=b+7

c(2+x)=6
2c+cx=6
cx=6-2c
x=6-2c/c
x=6-2
x=4
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