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Home > A2C > Chapter 4 > Lesson 4.2.4 > Problem 4-123

4-123.
  1. Consider the system of equations below: Homework Help ✎ 3y − 4x = −1
    9y + 2x = 4

    1. What is the parent of each equation?

    2. Solve this system algebraically.

    3. Find where the two graphs intersect.

    4. Explain the relationship between parts (b) and (c) above.

What is the parent of a line?

Multiply the first equation by −3, then use elimination.
Now substitute the value found for x into the equation 3y − 4x = −1 and solve for y.

The graphs intersect at the solution to both equations.

See part (c).