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Home > AC > Chapter 7 > Lesson 7.1.4 > Problem 7-38

7-38.
  1. Find the point of intersection for each system of linear equations below. Be sure to check your solutions. Which method did you use for each system and why? Homework Help ✎

    1. 5xy = 2
      3x + y = −10

    2. 6x + 2y = 7
      4x + y = 4

    3. 5x + 2y = 7
      2y + 5x = 7

Use the Elimination Method.

Add the equations together vertically.
The result is: 8x = −8

Solve for x by dividing the equation by 8. x = −1

Substitute x into one of the original equations to find y. 5(−1) − y = 2

Solve for y.
y = −7

(−1, −7)

Use the Elimination Method.

Multiply the 2nd equation by −2

Follow the steps outlined in part (a).

Try rewriting the 2nd equation. What do you notice?