Question

Solve these equations
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Answer 1

Answer:

(I) Let's solve your equation step-by-step.

4x−7(2−x)=3x+2

Step 1: Simplify both sides of the equation.

4x−7(2−x)=3x+2

4x+(−7)(2)+(−7)(−x)=3x+2(Distribute)

4x+−14+7x=3x+2

(4x+7x)+(−14)=3x+2(Combine Like Terms)

11x+−14=3x+2

11x−14=3x+2

Step 2: Subtract 3x from both sides.

11x−14−3x=3x+2−3x

8x−14=2

Step 3: Add 14 to both sides.

8x−14+14=2+14

8x=16

Step 4: Divide both sides by 8.

8x/8=16/8

x=2

(ii) Let's solve your equation step-by-step.

2(w+3)−10=6(32−3w)

Step 1: Simplify both sides of the equation.

2(w+3)−10=6(32−3w)

(2)(w)+(2)(3)+−10=(6)(32)+(6)(−3w)(Distribute)

2w+6+−10=192+−18w

(2w)+(6+−10)=−18w+192(Combine Like Terms)

2w+−4=−18w+192

2w−4=−18w+192

Step 2: Add 18w to both sides.

2w−4+18w=−18w+192+18w

20w−4=192

Step 3: Add 4 to both sides.

20w−4+4=192+4

20w=196

Step 4: Divide both sides by 20.

20w/20=196/20

w=49/5

(iii) Let's solve your equation step-by-step.

3/4x+5/6=5x−125/3

Step 1: Simplify both sides of the equation.

4x+5/6=5x+ −125/3

Step 2: Subtract 5x from both sides.

3/4x+5/6−5x=5x+ −125/3−5x

−17/4x+5/6−125/3

Step 3: Subtract 5/6 from both sides.

−17/4x+5/6−5/6=−125/3−5/6

−17/4x=−85/2

Step 4: Multiply both sides by 4/(-17).

(4/−17)*(−17/4x)=(4/−17)*(−85/2)

x=10

(iv) Given in image x=3

Answer 2

hii,do you remember me ?