Solve the following simultaneous equations. Some answers become fractions. If you are unsure of your answers then verify them. (1) \( \left\{\begin{array}{l}5 x-2 y=9 \\ 3 x+2 y=7\end{array}\right. \) (3) \( \left\{\begin{array}{l}5 x+3 y=11 \\ 2 x-3 y=-4\end{array}\right. \) (2) \( \left\{\begin{array}{l}2 x+y=14 \\ 6 x+y=34\end{array}\right. \) (4) \( \left\{\begin{array}{l}2 x-3 y=1 \\ 4 x-3 y=3\end{array}\right. \)
Added by John D.
Close
Step 1
Step 1: Solve the first set of equations \[ \begin{array}{l} 5x - 2y = 9 \\ 3x + 2y = 7 \end{array} \] Add the equations to eliminate \(y\): \[ (5x - 2y) + (3x + 2y) = 9 + 7 \] \[ 8x = 16 \] \[ x = 2 \] Substitute \(x = 2\) into the first equation: \[ 5(2) - 2y = Show more…
Show all steps
Your feedback will help us improve your experience
Elizabeth Waters and 74 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Solve the following simultaneous equations by the substitution method: 5x + y = 35 and 3x - 2y = 14.
Supreeta N.
Solve the following systems of equations by using the "substitution" method: Please show the work and/or steps leading to your answers: 3. x + 2y = 5 y = -2 4. x = 3 x - y = 20 5. 3x + y = 20 x - 2y = 10 6. 2x - 3y = -23 x + y = 0 7. 2x - 3y = -7 4x + 5y = 8 8. 3x + 2y = -5 2x - 5y = -16
Kathleen C.
please solve # 8
Vysakh M.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD