Solve the system of equation, please 1. 4 x + 2 y = 46 20 x &#x2212;<!-- -

nileteenice

nileteenice

Answered question

2022-05-23

Solve the system of equation, please
1. 4 x + 2 y = 46
20 x 3 y = 9
And
2. 8 x 4 y = 4
2 x + 3 y = 61

Answer & Explanation

zepplinkid7yk

zepplinkid7yk

Beginner2022-05-24Added 11 answers

1. 4 x + 2 y = 46 (1)
20 x 3 y = 9 (2)
Multiply equation (1) by 5
5 ( 4 x + 2 y ) = 5 ( 46 )
20 x + 10 y = 230
From this system we get:
13 y = 221
y = 221 13
y = 17
Now, put y=17 in the equation (1)
4 x + 2 ( 17 ) = 46
4 x + 34 = 46
4 x = 12
x = 3

2. 8 x 4 y = 4 (1)
2 x + 3 y = 61 (2)
Multiply equation (2) by 4
8 x + 12 y = 244
From the system we get
16 y = 240
y = 240 16
y = 60 4
y = 15
Subtitute y=15 in equation (2):
2 x + 3 ( 15 ) = 61
2 x = 61 45
2 x = 16
x = 8

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?