emansherif0205
Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

What is the solution to the pair of equations?
y = 7x − 9
y = 3x − 1

Sagot :

zai8teen

Step-by-step explanation:

substitution:

7x-9= 3x-1

4x= 8

x=2

eunice1234

Answer: x = 2

Concept:

There are three general ways to solve systems of equations:

  1. Elimination: Eliminating a variable by addition or subtraction when all equations have the variable.
  2. Substitution: Combining two equations when one variable is isolated into one side.
  3. Graphing: Find the intersection point of equations to get the solution.

Here, we are going to use the method of substitution because [y] is isolated onto the left-hand side.

Solve:

Given information

y = 7x - 9

y = 3x - 1

Combine both equations by substitution

7x - 9 = 3x - 1

Subtract 3x on both sides

7x - 9 - 3x = 3x - 1 - 3x

4x - 9 = -1

Add 9 on both sides

4x - 9 + 9 = -1 + 9

4x = 8

Divide 4 on both sides

4x / 4 = 8 / 4

[tex]\boxed{x=2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.