188k views
1 vote
4x-3y=8 5×-2y=-11 solve the linear system using elimination

User Dloewen
by
8.3k points

1 Answer

6 votes
Solve the following system using elimination:
{4 x - 3 y = 8 | (equation 1){-10 y = -11 | (equation 2)
Multiply equation 2 by -1:
{4 x - 3 y = 8 | (equation 1)
{0 x+10 y = 11 | (equation 2)

Divide equation 2 by 10:
{4 x - 3 y = 8 | (equation 1)
{0 x+y = 11/10 | (equation 2)


Add 3 × (equation 2) to equation 1:
{4 x+0 y = 113/10 | (equation 1)
{0 x+y = 11/10 | (equation 2)

Divide equation 1 by 4:
{x+0 y = 113/40 | (equation 1)
{0 x+y = 11/10 | (equation 2)

Collect results:
Answer: {x = 113/40
{y = 11/10
User JeanSibelius
by
8.3k 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