If you were required to solve each set one of the ways, decide which you would solve which way and explain why you chose that method: 6x + 3y = 24 7r + Jy = -28 Y = Sx y = 4 + 18 y = 3r + 12 2x + 3y = -12 I would solve set by graphing because it allows me to visually see the intersection point of the two equations. I would solve set by substitution because it involves replacing one variable with an expression in terms of the other variable. I would solve set by elimination because it involves adding or subtracting the equations to eliminate one variable and solve for the other.
Added by Tyler L.
Step 1
This is because we can multiply the first equation by -J and the second equation by 3, and then add the two equations together to eliminate y. This will give us an equation in terms of x and r, which we can solve for one of the variables and then substitute back Show more…
Show all steps
Close
Your feedback will help us improve your experience
Allison Knapp and 85 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 systems by graphing: 1) 2x +y = 5 and x 3y = 8 2) 6x 3y = 9 and 2x + 2y = 6 Solve the following systems by substitution 3) y = 5x 3 and -X Sy = 11 4) 2x 6y = 24 and x = Sy 22 Solve the following systems by elimination 5) 4x 2y = -2 and 4x + 8y = 24 6) x-y = 11 and 2x + y = 19
Jessica H.
Which first step for solving the given system using substitution results in an equation without fractions? 2x + 6y = 7 6x + 18y = 24 Solve for x in the first equation. Solve for y in the first equation. Solve for x in the second equation. Solve for y in the second equation.
James K.
Match the system of equations on the left with the appropriate solution on the right: 2x - y = 7 3x + y = 3 2x + 3y = 8 3x - 2y = -14 3x - 2y = 12 6x - 4y = -24 2x - 3y = 6 -4x + 6y = -12 No solution (-2, -3) (-2, 4) (2, -3) Infinite number of solutions
Erika B.
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