Latihan Plsv

Explanation
The solution to the equation 6x - 5 = 13 can be found by isolating the variable x. First, add 5 to both sides of the equation to get 6x = 18. Then, divide both sides by 6 to solve for x, which gives x = 3.

Explanation
The given equation is 2(3p - 6) = 3p - 9. To solve this equation, we need to distribute the 2 to both terms inside the parentheses, resulting in 6p - 12 = 3p - 9. Then, we can combine like terms by subtracting 3p from both sides, which gives us 3p - 12 = -9. Finally, we can add 12 to both sides to isolate the variable, resulting in 3p = 3. Dividing both sides by 3, we find that p = 1. Therefore, the correct answer is 1.

Explanation
The equation given is 10 = 7 - p. To solve for p, we need to isolate the variable on one side of the equation. By subtracting 7 from both sides, we get 3 = -p. To solve for p, we multiply both sides by -1, giving us p = -3.

Explanation
The solution to the equation 4(y + 2) + 2(3y - 7) = 3(3y - 1) is 3.

Explanation
The question states that the perimeter of a rectangle is 60 cm and the length is 6 cm more than the width. To find the area of the rectangle, we need to know the length and width. Let's assume the width is x cm, then the length would be x+6 cm. The perimeter of a rectangle is given by the formula P = 2(l + w), so we can write the equation as 60 = 2(x+6 + x). Simplifying this equation, we get 60 = 4x + 12. Solving for x, we find x = 12. Therefore, the width is 12 cm and the length is 18 cm. The area of the rectangle is calculated by multiplying the length and width, which gives us 216 cm2.

Explanation
The question states that there are three consecutive even numbers with a sum of 108. To find the largest number, we can divide the sum by 3 to get the average of the three numbers, which is 36. Since the numbers are consecutive, the largest number would be the average plus 2, which is 38.

Explanation
The question states that the perimeter of triangle ABC is 12 cm. The lengths of the sides are given as AB = x cm, BC = (x + 1) cm, and AC = (x + 2) cm. To find the length of side BC, we need to add the lengths of all three sides and set it equal to the perimeter. So, x + (x + 1) + (x + 2) = 12. Simplifying this equation, we get 3x + 3 = 12. Solving for x, we find x = 3. Therefore, the length of side BC is (3 + 1) = 4 cm.

Explanation
Since Usman has Rp 3.800,00 more than Adi, we can subtract this amount from the total amount of Rp 10.200,00 to find out how much money Adi has. Rp 10.200,00 - Rp 3.800,00 = Rp 6.400,00. Therefore, Usman must have Rp 6.400,00 + Rp 3.800,00 = Rp 10.200,00.

Explanation
The two numbers can be represented as x and y. Given that their sum is 29 and their difference is 13, we can set up the following equations: x + y = 29 and x - y = 13. By solving these equations simultaneously, we find that x = 21 and y = 8. The result of dividing the larger number (21) by the smaller number (8) is 2.625, which is approximately equal to 2.6. Therefore, the correct answer is 2.6.

Explanation
The given information states that the price of a pair of shoes is three times the price of a pair of sandals. It also states that the price of three pairs of shoes and two pairs of sandals is Rp 220,000. To find the price of a pair of shoes, we can set up the equation 3x + 2y = 220,000, where x represents the price of a pair of shoes and y represents the price of a pair of sandals. Solving this equation, we can find that x = Rp 60,000.

Explanation
The question states that angle C is equal to angle B, and angle A is 42 degrees smaller than angle B. Therefore, we can set up the equation B = C and A = B - 42. Since the sum of the angles in a triangle is always 180 degrees, we can substitute the values of A, B, and C into the equation A + B + C = 180. By solving the system of equations, we find that B = 74 degrees.

Explanation
The given equation 2x - n = 1 is a linear equation with one variable. It is not a linear equation with more than one variable or a quadratic equation. The equation is in the form ax + b = c, where a = 2, b = -n, and c = 1. Therefore, it is a valid example of a linear equation with one variable.