🧮 algebra

1. **State the problem:** Solve the system of equations using substitution: $$y = 4x - 7$$

1. The problem is to graph the two linear equations: $$y = -x + 5$$ and $$y = -x - 2$$. 2. Both equations are in slope-intercept form $$y = mx + b$$, where $$m$$ is the slope and $

1. **State the problem:** We need to make $y$ the subject of the formula given by $$R = Z \sqrt{y^2 - x^2}.$$ 2. **Isolate the square root term:** Divide both sides by $Z$ to isola

1. The problem is to understand and simplify the expression $R = Z(\sqrt{y^2 + x^2})$. 2. This expression represents $R$ as the product of $Z$ and the square root of the sum of squ

1. **State the problem:** Graph the system of equations: $$x + 3y = 12$$

1. **State the problem:** We are given two points with coordinates involving expressions: \((2, 1.97 x^2 - \ln(10.69z))\) and \((0, 35 x^2 \pi z)\). The problem is to understand or

1. **State the problem:** Solve the system of equations by graphing: $$x + 3y = 12$$

1. **Problem:** Divide the polynomial $24x^2 + 16x$ by $4x$. 2. **Formula:** When dividing polynomials, divide each term of the numerator by the denominator.

1. **State the problem:** Simplify the expression $$(2x+3y)^2-(x-4y)^2$$. 2. **Recall the formula:** This expression is a difference of squares, which follows the identity $$a^2 -

1. **Planteamiento del problema:** Realizar la operación con polinomios:

1. **State the problem:** Simplify the expression $$(2x+y)^2-(y-2x)^2$$. 2. **Formula used:** This is a difference of squares, which follows the rule $$a^2 - b^2 = (a-b)(a+b)$$.

1. **State the problem:** We are given the function $y = 4x - 2$ and asked to describe its domain and range, and compare its graph to the graph of $y = 4x$. 2. **Domain and range o

1. **State the problem:** Given the function $f(x) = \frac{1}{4} \cdot 2^x$ and $x = 5$, find $f(5)$. 2. **Formula used:** The function is an exponential function defined as $f(x)

1. **State the problem:** Simplify the algebraic expression and solve the given fractions and polynomial expressions. 2. **Given expressions:**

1. **Problem:** Simplify the rational expression $\frac{12w^4 + 30w^3}{16w^2 + 40w}$. 2. **Formula and rules:** To simplify rational expressions, factor numerator and denominator c

1. **State the problem:** We want to find what percentage 28 customers is out of 40 customers. 2. **Formula used:** The percentage is calculated by the formula

1. Vamos calcular o valor numérico da expressão $$2x^2 - 8x + 8$$ para $$x = 98$$. 2. Substituímos $$x$$ por 98 na expressão:

1. **State the problem:** Solve the system of equations by graphing: $$y=3x-7$$

1. The problem is to solve the system by graphing the equation $y=3x-7$ and determine the number of solutions. 2. Since only one equation is given, the system is incomplete; a syst

1. The problem asks to solve a system of equations by graphing and determine the number of solutions. 2. When solving systems by graphing, each equation is graphed as a line.

1. Problemi: Gjej vlerën e $x$ nga ekuacioni $3x + 5 = 20$. 2. Formula: Përdorim rregullin e zgjidhjes së ekuacioneve lineare, ku qëllimi është të izolosh $x$ në njërën anë të ekua