Given linear equations, find the values of m and n for specific x and y values.

May 25, 2026Mathematics

ScanSolve AI Answer

May 25, 2026

Answer

n = 8, m = 59

Hey Tshiamo, good to see you again.

Here are the solutions for $m$ and $n$ for each part:

a) Equation: $x = 3y - 1$

Step 1: Find $n$ . When $x = 23$ , $y = n$ . $23 = 3n - 1$ $23 + 1 = 3n$ $24 = 3n$ $n = \frac{24}{3}$ $n = 8$

Step 2: Find $m$ . When $y = 20$ , $x = m$ . $m = 3(20) - 1$ $m = 60 - 1$ $m = 59$ For part a), $\boxed{n = 8, m = 59}$

b) Equation: $x = -2y + 6$

Step 1: Find $m$ . When $y = 4$ , $x = m$ . $m = -2(4) + 6$ $m = -8 + 6$ $m = -2$

Step 2: Find $n$ . When $x = -14$ , $y = n$ . $-14 = -2n + 6$ $-14 - 6 = -2n$ $-20 = -2n$ $n = \frac{-20}{-2}$ $n = 10$ For part b), $\boxed{m = -2, n = 10}$

c) Equation: $y = -4x - 2$

Step 1: Find $n$ . When $y = -30$ , $x = n$ . $-30 = -4n - 2$ $-30 + 2 = -4n$ $-28 = -4n$ $n = \frac{-28}{-4}$ $n = 7$

Step 2: Find $m$ . When $x = 100$ , $y = m$ . $m = -4(100) - 2$ $m = -400 - 2$ $m = -402$ For part c), $\boxed{n = 7, m = -402}$

d) Equation: $y = x + 2$

Step 1: Find $n$ . When $y = 5$ , $x = n$ . $5 = n + 2$ $n = 5 - 2$ $n = 3$

Step 2: Find $m$ . When $x = 16$ , $y = m$ . $m = 16 + 2$ $m = 18$ For part d), $\boxed{n = 3, m = 18}$

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Quick Answer

Hey Tshiamo, good to see you again. Here are the solutions for m and n for each part: a) Equation: x = 3y - 1 Step 1: Find n.

Asked on May 25, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 25, 2026

Hey Tshiamo, good to see you again. Here are the solutions for m and n for each part: a) Equation: x = 3y - 1 Step 1: Find n. When x = 23, y = n. 23 = 3n - 1 23 + 1 = 3n 24 = 3n n = (24)/(3) n = 8 Step 2: Find m. When y = 20, x = m. m = 3(20) - 1 m = 60 - 1 m = 59 For part a), n = 8, m = 59 b) Equation: x = -2y + 6 Step 1: Find m. When y = 4, x = m. m = -2(4) + 6 m = -8 + 6 m = -2 Step 2: Find n. When x = -14, y = n. -14 = -2n + 6 -14 - 6 = -2n -20 = -2n n = (-20)/(-2) n = 10 For part b), m = -2, n = 10 c) Equation: y = -4x - 2 Step 1: Find n. When y = -30, x = n. -30 = -4n - 2 -30 + 2 = -4n -28 = -4n n = (-28)/(-4) n = 7 Step 2: Find m. When x = 100, y = m. m = -4(100) - 2 m = -400 - 2 m = -402 For part c), n = 7, m = -402 d) Equation: y = x + 2 Step 1: Find n. When y = 5, x = n. 5 = n + 2 n = 5 - 2 n = 3 Step 2: Find m. When x = 16, y = m. m = 16 + 2 m = 18 For part d), n = 3, m = 18 Send me the next one 📸