Login
Premium
Home Question Bank Math Algebra
Question
upstudy study bank question image url

1. \( \quad 16 x-10 y=10 \)

Ask by Mills Mcfarlane. in the United States
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The equation \( 16x - 10y = 10 \) can be rewritten in slope-intercept form as \( y = \frac{8}{5}x - 1 \). This means the slope is \( \frac{8}{5} \) and the y-intercept is \( (0, -1) \). The x-intercept is \( \left(\frac{5}{8}, 0\right) \).

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Reviewed and approved by the UpStudy tutoring team

The Deep Dive

To solve the equation \(16x - 10y = 10\), you can isolate one variable. For instance, if you solve for \(y\), you rearrange it to \(y = \frac{16x - 10}{10}\) or simplified to \(y = 1.6x - 1\). This transformation offers a clear linear function, letting you plot the line in a coordinate system and easily find the slope and y-intercept! Moreover, solving linear equations like this one is crucial in real life! You might find yourself using these setups in budgeting, optimizing production in a business, or even when plotting travel routes—essentially anytime you're balancing two variables. This understanding translates easily into making informed decisions in various daily situations!

Related Questions

PHIẾU: PHÉP CỘNG, TRỪ PHÂN SỐ HỌ VÀ TÊN:.............................LỚP 8A4 Bài 1. Thực hiện phép tính: a) \( \frac{x-5}{5}+\frac{1-x}{5} \) b) \( \frac{x-y}{8}+\frac{2 y}{8} \) c) \( \frac{x^{2}+1}{x-2}-\frac{1-2 x}{x-2} \) d) \( \frac{4 x+1}{3}-\frac{x-2}{3} \) e) \( \frac{4 x-1}{3 x^{2} y}-\frac{7 x-1}{3 x^{2} y} \) f) \( \frac{3 x+2 y}{x-y}-\frac{2 x+3 y}{x-y} \) d) \( \frac{5 x y^{2}-x^{2} y}{3 x y}-\frac{4 x y^{2}+x^{2} y}{3 x y} \) e) \( \frac{x+1}{a-b}+\frac{x-1}{a-b}-\frac{x+3}{a-b} \) f) \( \frac{5 x y-4 y}{2 x^{2} y^{3}}+\frac{3 x y+4 y}{2 x^{2} y^{3}} \) h) \( \frac{x^{2}+4}{x-2}+\frac{4 x}{2-x} \) i) \( \frac{2 x^{2}-x y}{x-y}+\frac{x y+y^{2}}{y-x}-\frac{2 y^{2}-x^{2}}{x-y} \) Bài 2: Thực hiện phép tính: a) \( \frac{2 x+4}{10}+\frac{2-x}{15} \) b) \( \frac{x^{2}}{x^{2}+3 x}+\frac{3}{x+3}+\frac{3}{x} \) c) \( \frac{2}{x+y}-\frac{1}{y-x}+\frac{-3 x}{x^{2}-y^{2}} \) d) \( \frac{4}{x+2}+\frac{2}{x-2}+\frac{5 x-6}{4-x^{2}} \); e) \( \frac{1-3 x}{2 x}+\frac{3 x-2}{2 x-1}+\frac{3 x-2}{2 x-4 x^{2}} \); f) \( \frac{x^{2}+2}{x^{3}-1}+\frac{2}{x^{2}+x+1}+\frac{1}{1-x} \) Bài 3. Làm tính trừ các phân thức sau: a) \( \frac{4 x+1}{3}-\frac{x-2}{3} \) b) \( \frac{4 x-1}{3 x^{2} y}-\frac{7 x-1}{3 x^{2} y} \) c) \( \frac{3 x+2 y}{x-y}-\frac{2 x+3 y}{x-y} \) Bài 4. Làm các phép tính a) \( \frac{x y-1}{2 x-y}-\frac{1-2 x^{2}}{y-2 x} \) b) \( \frac{3 x y^{2}+x^{2} y}{x^{2} y-x y^{2}}-\frac{3 x^{2} y+x y^{2}}{x y(x-y)} \) c) \( \frac{x+9}{x^{2}-9}-\frac{3}{x^{2}+3 x} \) Bài 5. Thực hiện phép tính a) \( \frac{5 x^{2}}{6 x-6 y}-\frac{2 x^{2}}{3 y-3 x} \) b) \( \frac{y}{x y-5 x^{2}}-\frac{25 x-15 y}{25 x^{2}-y^{2}} \) c) \( \frac{1}{2 x-3}-\frac{2}{2 x+3}-\frac{6}{4 x^{2}-9} \) Bài 6. Rút gọn rồi tính giá trị của biểu thức a) \( \frac{x+1}{x-1}-\frac{4 x}{x^{2}-1} \) với \( x=-2 \) b) \( \frac{1}{x y-x^{2}}-\frac{1}{y^{2}-x y} \) với \( x=-5 ; y=\frac{-1}{5} \) Bài 7. Chứng minh biểu thức sau không phụ thuộc vào x : \[ A=\frac{11 x}{2 x-3}-\frac{x-18}{3-2 x} \quad B=\frac{1}{x+1}-\frac{2 x}{x-1}+\frac{x+3}{x^{2}-1} \] Bài 8. Chứng minh biểu thức sau không phụ thuộc vào \( \mathrm{x}, \mathrm{y} \) : \[ D=\frac{2 x+1}{x-2 y}-\frac{5 y+2}{x-2 y}-\frac{y+1}{2 y-x} \quad K=\frac{x+y}{x}-\frac{x}{x-y}+\frac{y^{2}}{x^{2}-x y} \]
Algebra Vietnam Jan 24, 2025
VIII. \( 9 x-5=50 \)
Algebra Saudi Arabia Jan 24, 2025
В одной координатной плоскости построить графики функций: 1. \( y=6 x+1 \) 2. \( y=-3+x \) 3. \( y=5 x \) 4. \( y=-0,7 x+3 \) 5. \( y=-2 \)
Algebra Russia Jan 24, 2025
VII. \( 8 x+6=54 \) VIII. \( 9 x-5=50 \) IX. \( 10 x+7=77 \) X. \( 11 x-8=63 \)
Algebra Saudi Arabia Jan 24, 2025
\begin{tabular}{l} A. Aply the laws of exponents to simplify the given exponential expressions. Show your comp \\ Highlight the final answer. \( \left(4 x y^{2}\right) \cdot\left(7 x^{3} y^{4}\right) \) \\ b. \( \left(-3 a^{4} b^{5}\right)^{4} \) \\ c. \( \left(-\frac{1}{2}\right)^{2} \cdot\left(-\frac{1}{2}\right)^{4} \) \\ d. \( \frac{48 m^{12} n^{9}}{4 m^{9} n} \) \\ \hline\end{tabular}
Algebra Philippines Jan 24, 2025

Latest Algebra Questions

X. \( 11 x-8=63 \)
Algebra Saudi Arabia Jan 24, 2025
IX. \( 10 x+7=77 \)
Algebra Saudi Arabia Jan 24, 2025
VIII. \( 9 x-5=50 \)
Algebra Saudi Arabia Jan 24, 2025
VII. \( 8 x+6=54 \)
Algebra Saudi Arabia Jan 24, 2025
VII. \( 8 x+6=54 \) VIII. \( 9 x-5=50 \) IX. \( 10 x+7=77 \) X. \( 11 x-8=63 \)
Algebra Saudi Arabia Jan 24, 2025
Prev Next
Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy