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3 years ago

Solve the equation without using the Distributive Property.

Mathematics

1 answer:

PIT_PIT [208]3 years ago

6 0

Distribute:
3x-12=12
Add 12 over
3x=24
divide by 3
x=8

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3 years ago

3x-(2x-1)=7x-(3*5x)+(-x+24)

Paraphin [41]

Answer:

$\boxed{\boxed{\sf x=\frac{23}{10}}\: \sf or \:\boxed{x=2.3}}$

_________________

$\boxed{\sf Step\: By\:Step:- }$

$\sf 3x-\left(2x-1\right)=7x-\left(3\times \:5x\right)+\left(-x+24\right)$

Remove the parentheses:

$\to\sf 3x-\left(2x-1\right)=7x-3\times \:5x-x+24$

Combine like terms:

$\sf ^*7x-x=6x$

$\to\sf 3x-\left(2x-1\right)=6x-3\times \:5x+24$

Multiply 3 and 5x = 15x:-

$\to\sf 3x-\left(2x-1\right)=6x-15x+24$

Combine like terms:

$\sf ^*6x-15x=-9x$

$\to\sf 3x-\left(2x-1\right)=-9x+24$

Expand: 3x-(2x-1)= x+1

$\to\sf x+1=-9x+24$

Subtract 1 from both sides:

$\to\sf x+1-1=-9x+24-1$

$\to\sf x=-9x+23$

Add 9x to both sides:

$\to\sf x+9x=-9x+23+9x$

$\to\sf 10x=23$

Divide both sides by 10:

$\to\sf \cfrac{10x}{10}=\cfrac{23}{10}$

$\to\sf x=\cfrac{23}{10}$

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3 years ago

Is (3,9) a solution of the system

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3 years ago

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8 0

3 years ago

3x - 5y = 14 and – 2x + 2y = 0

zubka84 [21]

Answer:

x=5.6

y=-5.6

Step-by-step explanation:

3x - 5y = 14 Equation 1

– 2x + 2y = 0 Equation 2

Simultaneous equation can be solved either through elimination method or substitution method. But we use elimination method for this question

Multiply equation 1 by -2 (the coefficient of x in equation 2) and multiply equation 2 with 3 (the coefficient of x in equation 1), so that x will have the same coefficient in the new equations, and easy to eliminate

-2(3x - 5y = 14)

-6x+10y=-28 Equation 3

3(– 2x + 2y = 0)

-6x+6y=0 Equation 4

Subtract equation 4 from 3 to eliminate x

-6x+10y=-28

-6x+6y=0

-6x-(-6x)=-6x+6x=0

10y-6y=5y

-28-0=-28

5y=-28

y=-28/5

y=-5.6

Substitute for y in equation 2

– 2x + 2y = 0

– 2x + 2(-5.6) = 0

-2x-11.2=0

-2x=11.2

x=-11.2/2

x=5.6

7 0

3 years ago