38.7k views
21 votes
This is solving systems of equations by elimination. kinda confusing still though ​

This is solving systems of equations by elimination. kinda confusing still though-example-1

1 Answer

5 votes

Answer:

y = 0

x = 2

Explanation:

1. first you have to solve for (x), so take 10y+4=2x and divide by 2 (to isolate the variable). this gives the equation x = 5y + 4

2. now that you have an equation for x, you can substitute that into the top equation: -14 = -20y - 7 (5y+2)

3. now, distribute the 7: -14 = -20y -35y -14

4. combine like terms: -14 = -55y - 14

5. move the -14 on the left to the right: 0 = -55y (because adding 14 to each side cancels both out)

6. now isolate (y): 0/-55 = y, and 0/x is always 0, so y=0

7. by filling in (0) as y in the second equation, you get 10(0) + 4 = 2x, which ultimately gives the answer of x=2

you can check that its correct as well by doing -14 = -20(0)-7(2), which is true

hope this helped!

User Demogar
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories