Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

3x – 2y = -4
4x + 2y = 25

Sagot :

elvokipkorir

Answer:

(-21, 54.5)

Step-by-step explanation:

Hello there!

We have two methods to solve this problem.

  1. Substitution method
  2. Elimination method.

We will limit ourself to Substitution method.

3x – 2y = -4.................... 1.

4x + 2y = 25................... 2.

First lets manipulate eq.2 in terms of y.

4x + 2y = 25

2y = 25 - 4x

y = 25/2 - 2x .............. eq.3

Substitute eq.3 into eq.1

3x – 2(25/2 -2x) = -4

Solve for x.

Opening the brackets

3x - 25 - 4x = -4

-x = 21

x = -21

Substitute x into equation 3

y = 25/2 - 2x

=> y = 25/2 - 2(-21)

= 54.5

In terms of x and y; (x,y)

= (-21, 54.5)

I hope this helps.

Have a nice studies.

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.