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30 votes
4х - Зу = 4 2х + 4 y = 3*solving system by elimination*

User Zango
by
3.0k points

1 Answer

13 votes
13 votes

Answer

x = (25/22)

y = (2/11)

Step-by-step explanation

4х - Зу = 4

2х + 4y = 3

We are asked to solve the system of equations by elimination

To do that, we will multiply the first equation by 1 and the second equation by 2

(4х - Зу = 4) × 1

(2х + 4y = 3) × 2

4x - 3y = 4

4x + 8y = 6

Subtract equation 1 from equation 2

4x + 8y = 6

- (4x - 3y = 4)

4x - 4x + 8y + 3y = 6 - 4

0 + 11y = 2

11y = 2

Divide both sides by 11

(11y/11) = (2/11)

y = (2/11)

Using one of the equations, we can solve for x

2x + 4y = 3

2x + 4(2/11) = 3

2x + (8/11) = 3

2x = 3 - (8/11)

2x = (33/11) - (8/11)

2x = (25/11)

x = (25/22)

Hope this Helps!!!

User Ranjit Iyer
by
3.3k points
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