Question

1, solve and verify the answer- 1,2x-1/2=11/2 2, 2(x-1) = x+2 f,2x - 1½ = 4 ½ solve a, 2n +16=4-n b,5x/3 + 3 = x+7 c,3(x-2)=2(x+1)-3 d, 3x-1/4=11 3, p=4,q=-3&x=2 if p3+q3-x3-3pqx 4, find xy/z1 if x=2, y=3, z=-1​

Answer 1

Hope this helps!

Answer:

1.) 3

2.) 4

3.) 3

4.) -4

5.) 6

6.) 5

7.) x=15/4

8.) 101

9.) -6

Step-by-step explanation:

1.)

Let's solve your equation step-by-step.

2x−1/2=11/2

Step 1: Simplify both sides of the equation.

2x−1/2=11/2

Step 2: Add 1/2 to both sides.

2x−1/2+1/2=11/2+1/2

2x=6

Step 3: Divide both sides by 2.

2x/2=6/2

x=3

2.)

Let's solve your equation step-by-step.

2(x−1)=x+2

Step 1: Simplify both sides of the equation.

2(x−1)=x+2

(2)(x)+(2)(−1)=x+2(Distribute)

2x+−2=x+2

2x−2=x+2

Step 2: Subtract x from both sides.

2x−2−x=x+2−x

x−2=2

Step 3: Add 2 to both sides.

x−2+2=2+2

x=4

3.)

Let's solve your equation step-by-step.

2x−1 1/2=4 1/2

Step 1: Simplify both sides of the equation.

2x+-3/2=9/2

Step 2: Add 3/2 to both sides.

2x+-3/2+3/2=9/2+3/2

2x=6

Step 3: Divide both sides by 2.

2x/2=6/2

x=3

4.)

Let's solve your equation step-by-step.

2n+16=4−n

Step 1: Simplify both sides of the equation.

2n+16=4−n

2n+16=4+−n

2n+16=−n+4

Step 2: Add n to both sides.

2n+16+n=−n+4+n

3n+16=4

Step 3: Subtract 16 from both sides.

3n+16−16=4−16

3n=−12

Step 4: Divide both sides by 3.

3n/3=−12/3

n=-4

5.)

Let's solve your equation step-by-step.

5x/3+3=x+7

Step 1: Simplify both sides of the equation.

5x/3+3=x+7

Step 2: Subtract x from both sides.

5x/3+3-x=x+7-x

2/3x+3=7

Step 3: Subtract 3 from both sides.

2/3x-3+3=7-3

2/3x=4

Step 4: Multiply both sides by 3/2.

2/3x•3/2 =4•3/2

x=6

6.)

Let's solve your equation step-by-step.

3(x−2)=2(x+1)−3

Step 1: Simplify both sides of the equation.

3(x−2)=2(x+1)−3

(3)(x)+(3)(−2)=(2)(x)+(2)(1)+−3(Distribute)

3x+−6=2x+2+−3

3x−6=(2x)+(2+−3)(Combine Like Terms)

3x−6=2x+−1

3x−6=2x−1

Step 2: Subtract 2x from both sides.

3x−6−2x=2x−1−2x

x−6=−1

Step 3: Add 6 to both sides.

x−6+6=−1+6

x=5

7.)

Let's solve your equation step-by-step.

3x-1/4=11

Step 1: Simplify both sides of the equation.

3x-1/4=11

Step 2: Add 1/4 to both sides.

3x-1/4+1/4=11+1/4

3x=45/4

Step 3: Divide both sides by 3.

3x/3=45/4 /3

x=15/4

8.)

4^3+(−3)^3−2^3−(3)(4)(−3)(2)

=101

9.)

(2)(3)/(-1)^1

=−6

Answer 2

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