🧮 algebra

1. Masalah yang diberikan adalah memeriksa apakah cara penyelesaian metode substitusi pada sistem persamaan linear sudah benar. 2. Metode substitusi melibatkan menyelesaikan satu p

1. Masalah: Gunakan metode substitusi untuk menyelesaikan sistem persamaan linear. 2. Metode substitusi melibatkan langkah-langkah berikut:

1. We are given the system of equations: $$\begin{cases} 2x + 3y = 2 \\ 2x - 3y = 14 \end{cases}$$

1. **State the problem:** We need to compute the balance from the total palay produced over 5 years and the selling price per cavan.

1. **State the problem:** Solve the system of equations using the inverse matrix method: $$\begin{cases} x - y + z = 8 \\ 2x + y - 3z = -15 \\ x + y + z = 4 \end{cases}$$

1. مسئله: حل معادله $\sqrt{x+8} - \sqrt{x+2} = 1$. 2. برای حل این معادله، ابتدا هر دو طرف را به گونه‌ای ساده می‌کنیم که بتوانیم رادیکال‌ها را حذف کنیم. قانون مهم: برای حذف رادیکال‌

1. مسئله: نمودار تابع پله‌ای $$f(x) = 1 - \left\lfloor \frac{x}{3} \right\rfloor$$ را در بازه $$(-3, 3]$$ رسم کنیم. 2. تعریف تابع پله‌ای: تابع $$\left\lfloor x \right\rfloor$$ مقدا

1. **State the problem:** We need to evaluate the expressions for k, j, and i given $w=3$, $x=2$, $y=-4$, and $z=-2$. 2. **Recall the expressions:**

1. The problem is to expand and simplify the function $f(x) = (x^3 - 2x)(x^5 + 6x^2)$. 2. We use the distributive property (also called FOIL for binomials) to multiply each term in

1. The problem is to simplify the expression with multiple dots, which seems unclear. Assuming the question is about understanding or simplifying an expression with dots, please cl

1. The problem is to solve the inequality, but the inequality itself was not provided. 2. To solve an inequality, we typically isolate the variable on one side using algebraic oper

1. Diberikan fungsi $f(x) = \frac{x-1}{x+2}$ dengan $x \neq -2$ dan $g(x) = 2x + 1$. Kita diminta menentukan bentuk invers dari komposisi fungsi $(f \circ g)^{-1}(x)$. 2. Pertama,

1. The problem is to find the value of the expression or solve the given equation (please provide the specific problem for detailed steps). 2. Generally, start by identifying the t

1. **Stating the problem:** We have the inequality $$7000x_1 + 10000x_2 + 5000x_3 \leq 200000$$ and we want to understand or solve it for the variables $x_1$, $x_2$, and $x_3$.

1. **State the problem:** Solve the equation $w - 21 = 45$ for $w$. 2. **Formula and rule:** To isolate $w$, add 21 to both sides of the equation. This uses the addition property o

1. Masalah yang ditanyakan adalah bagaimana mendapatkan hasil 16 pada nomor 7. 2. Untuk menjawab ini, kita perlu mengetahui rumus atau operasi matematika yang digunakan pada nomor

1. **State the problem:** Evaluate the expression $ (5)(3-1)+4 $. 2. **Apply the order of operations (PEMDAS/BODMAS):** Parentheses first, then multiplication, then addition.

1. **State the problem:** We need to find the y-intercept and the slope of the line given by the equation $ax + 2y = 4$. 2. **Rewrite the equation in slope-intercept form:** The sl

1. **State the problem:** Simplify the expression $2^{100} - 2^{99}$. 2. **Recall the properties of exponents:** For any base $a$ and exponents $m$ and $n$, $a^m - a^n = a^n(a^{m-n

1. Stating the problem: We are given two equations involving variables $x$ and $x_2$: $$x + x \times x - x_2 = x$$

1. Problem (a): Simplify $$(2^5 - 2)(3^5 + 4^2)$$. 2. Calculate powers: