+0  
 
0
64
1
avatar+29 

y= 2x-7

5x-2y =15

CheeseMilk23  May 17, 2017
edited by CheeseMilk23  May 17, 2017
Sort: 

1+0 Answers

 #1
avatar
+1

Solve the following system:
{y = 2 x - 7 | (equation 1)
5 x - 2 y = 15 | (equation 2)
Express the system in standard form:
{-(2 x) + y = -7 | (equation 1)
5 x - 2 y = 15 | (equation 2)
Swap equation 1 with equation 2:
{5 x - 2 y = 15 | (equation 1)
-(2 x) + y = -7 | (equation 2)
Add 2/5 × (equation 1) to equation 2:
{5 x - 2 y = 15 | (equation 1)
0 x+y/5 = -1 | (equation 2)
Multiply equation 2 by 5:
{5 x - 2 y = 15 | (equation 1)
0 x+y = -5 | (equation 2)
Add 2 × (equation 2) to equation 1:
{5 x+0 y = 5 | (equation 1)
0 x+y = -5 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 1 | (equation 1)
0 x+y = -5 | (equation 2)
Collect results:
Answer: | x = 1           and                y = -5

Guest May 17, 2017

2 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details