🧮 algebra

1. The problem asks to identify which of the given systems is a 2x2 system of equations. 2. A 2x2 system means there are 2 equations with 2 variables each.

1. Das Problem ist: "Und die Vereinfachung". 2. Es wurde keine konkrete mathematische Aufgabe angegeben, daher kann ich nichts sinnvoll vereinfachen.

1. **Planteamiento del problema:** Se tiene una empresa que cobra un cargo fijo y un valor por cada kwh consumido. Se conocen tres facturas con consumo y monto pagado:

1. The problem is to solve the system of equations: $$2x + y = 3x - 5y = 13$$

1. **Problem:** Calculate $7 - 9$. 2. **Formula:** Subtraction of integers.

1. **State the problem:** Solve the system of equations: $$4x + 3y = -1$$

1. **State the problem:** We need to find the average rate of change of the distance function from $x = -1$ to $x = 1$. 2. **Recall the formula for average rate of change:**

1. **问题陈述**：根据给出的数字规律，找出横线上的数字，即求表达式 $$10 \;\diamond\; 7 \;\diamond\; 13 = ?$$ 的结果。 2. **观察规律**：给出的等式为：

1. **State the problem:** Find the y-intercept and slope of the line given by the equation $$-3x + y = -5$$. 2. **Rewrite the equation in slope-intercept form:** The slope-intercep

1. Bài toán yêu cầu tìm số nghiệm của phương trình $$\sqrt{3x - 14} = x - 4$$. 2. Điều kiện xác định: biểu thức dưới căn phải lớn hơn hoặc bằng 0 và vế phải cũng phải không âm vì c

1. Bài toán yêu cầu tìm số nghiệm của phương trình $$\sqrt{-40x - 31} = 4x + 1$$. 2. Điều kiện xác định: biểu thức dưới căn phải lớn hơn hoặc bằng 0, tức là $$-40x - 31 \geq 0$$.

1. **State the problem:** Simplify the expression $$ (6x^4y^3)^2 $$ and compare it with $$ 9x^5y $$. 2. **Formula used:** When raising a power to another power, use the rule $$ (a^

1. The problem asks to translate the graph of a parabola 3 units to the left using a table of points. 2. The original parabola has vertex at approximately $(3, -4)$ and x-intercept

1. **Stating the problem:** We want to find two different combinations of transformations that change the function $f(x) = 5x + 3$ into $g(x) = 15x - 12$. 2. **Understanding transf

1. The problem asks to identify the parent cubic function and describe the transformation represented by the given function. 2. The parent cubic function is generally given by $$f(

1. The problem is to simplify the expression $\frac{1}{7} \div 2$.\n\n2. The formula for division of fractions is: $\frac{a}{b} \div c = \frac{a}{b} \times \frac{1}{c}$.\n\n3. Appl

1. **State the problem:** Simplify the expression $1 \div \frac{7}{2}$. 2. **Recall the division rule for fractions:** Dividing by a fraction is the same as multiplying by its reci

1. **State the problem:** We are given that \(\frac{1}{3}\) of a shape is shaded, and we need to calculate \(\frac{1}{3} \div 2\). 2. **Recall the division rule for fractions:** Di

1. **State the problem:** We need to find the sum of the fractions $\frac{1}{7} + \frac{1}{5} + \frac{1}{2}$ and express the result in its simplest form. 2. **Formula and rules:**

1. The problem is to calculate the division of two fractions: $\frac{5}{14} \div \frac{15}{7}$.\n\n2. The formula for dividing fractions is to multiply the first fraction by the re

1. **State the problem:** We need to multiply the fractions $\frac{6}{13}$, $\frac{9}{77}$, and $\frac{11}{2}$ and simplify the result to its lowest terms. 2. **Write the multiplic