Solve the systems in Exercises 15–22.
18.
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EBK COLLEGE ALGEBRA IN CONTEXT
- In Exercises 49–54, solve for y in terms of t or x, as appropriate.arrow_forwardExercises 99–108: Solve the given equation for the specified variable. 101. P = 2L + 2W for Larrow_forwardExercises 7–12: Determine whether the equation is linear or nonlinear by trying to write it in the form ax + b = 0. 7. 3x – 1.5 = 7arrow_forward
- In Exercises 23–25, solve each equation. If the solution set is Ø or (-0, ), classify the equation as an inconsistent equation or an identity. 23. 3(2x – 4) = 9 – 3(x + 1) 2x 24. x - 4 x + 1 4 2 4 25. 3(x – 4) + x = 2(6 + 2x)arrow_forwardIn Exercises 9–12, find all real solutions to the equations.arrow_forwardIn Exercises 15–16, solve each system by eliminating variables using the addition method. 15. [3x + 12y = 25 |2r - 6y = 12 x + 3y -x + 2y + 3z 2х - 5у — г 16. 5 13 -8arrow_forward
- In Exercises 3–6, solve each system by graphing. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. 3. x + y = 5 3x - y = 3 4. [3x – 2y = 6 16x – 4y = 12 3 y 6. [y = -x + 4 |3x + 3y = -6 5. 5h 2х — у %3D — 4arrow_forwardIn Exercises 20–21, solve each rational equation. 11 20. x + 4 + 2 x2 – 16 - x + 1 21. x? + 2x – 3 1 1 x + 3 x - 1 ||arrow_forward7. Solve the system a log, 3 + log, y = y+ log, r log3 12 + log3 r = y + log3 yarrow_forward
- Proof 2 implies 3 ,not type solution pleasearrow_forwardIn Exercises 15-16, each linear system has infinitely many solutions. Use parametric equations to describe its solution set. 15. a. 2x - 3y = 1 6x9y = 3 b. x1 X₁ + 3x₂ = x3 = -4 3x₁ + 9x₂ 3x3 = -12 -X₁ - 3x₂ + x3 = 4arrow_forwardfind a solution through the points (0,1) (0,0) (1/4, 1/4) (2, 1/8)arrow_forward
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