Ecuaciones de varios pasos

Resuelve: 9x + 3 - 3x = 51

• x = 9

• x = 8

• x = 6

• x = -9

Answer explanation

Given the question, 9x + 3 - 3x = 51, we first simplify it to 6x + 3 = 51. Then, we subtract 3 from both sides to get 6x = 48. Dividing each side by 6, we find that x = 8, which is the correct choice.

• w = 5

• w = 15

• w = 9

• w = 13

Answer explanation

The question posed is 4w - w - 26 = 19. By simplifying, we get 3w - 26 = 19. This further simplifies to 3w = 45, and finally solving for w, we get w = 15. So, the correct answer is w = 15.

• y = 3

• y = -4

• y = 6

• y = -3

Answer explanation

The question asked to solve the equation 2y + 9 - 6y - 3 = 18. Simplifying the equation, we get -4y + 6 = 18, which simplifies further to -4y = 12. Solving for y, we find that y = -3, which aligns with the correct answer choice.

• c =- 7

• c = 6

• c= 8

• ninguna de las anteriores

Answer explanation

The question is asking to solve the equation '7c - 7 = 4c + 17'. By isolating 'c', we add 7 to both sides, giving '7c = 4c + 24'. Then, subtract 4c from both sides to find '3c = 24'. Finally, dividing by 3, we get 'c = 8', which is the correct answer.

• d = 9

• d = 6

• d = 8

• ninguna de las anteriores

Answer explanation

The given question is a simple algebraic equation: 4d - 11 = 2d + 7. To solve for 'd', we can start by subtracting 2d from both sides, which gives us 2d - 11 = 7. Then, add 11 to both sides to isolate 'd', resulting in 2d = 18. Finally, divide both sides by 2 to find that 'd = 9', which is the correct answer.

Resuelve: -8(w - 6) = 32

• w = 10

• w = -8

• w = -2

• w = 2

Answer explanation

The question asks to solve -8(w - 6) = 32. By distributing -8 into the equation, it becomes -8w + 48 = 32. Moving 48 to the other side gives -8w = -16. Dividing by -8, we find `w = 2`, which is the correct solution.

Resuelve: 8(4x - 5) - 7x = 5(5x - 8)

• Identidad

• nula

• x = -2

• ninguna

Answer explanation

The given question is a simple algebraic equation. Upon simplifying both sides of the equation, we find that they are equal. Hence, the solution to this equation is an identity. This means that all values of 'x' will satisfy this equation, explaining why 'Identidad' is the correct answer.

• Identidad

• x = -2

• x = 2

• x = 4

• nula

Answer explanation

The question gives us an equation to solve. However, both sides of the equation are equal, indicating that the equation is true for all values of x. Therefore, the correct answer is 'nula', which means the equation is null or void.

Para resolver ecuaciones con paréntesis primero:

• se cancela una de las variables

• se cancela la suma o la resta

• se aplica la propiedad distributiva

Answer explanation

The question asks to solve equations with parentheses. The correct choice is to apply the distributive property. This means to multiply each term inside the parentheses by the factor outside the parentheses, before proceeding with the regular steps of solving an equation. This is not about canceling a variable or a sum or a subtraction.

En las ecuaciones con paréntesis se aplica la propiedad distributiva para eliminar el paréntesis.

• verdadero

• falso

Answer explanation

The answer is correct. In equations, the distributive property is used to eliminate parentheses. This is a fundamental rule of algebra that allows you to simplify expressions by multiplying each term inside the parentheses by the term outside it.