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Solve the system: 4x - y = 5 x + 2y = 8

2 Answers

3 votes

Explanation:

4x-y=5-----×1.

x+2y=8----×4.

which will be....

4x-y=5

- 4x+8y=32.

____________

-9y=-27

----- ----

-9. -9.

y=3.

then substitute into any equation...

equation one.

4x-3=5.

4x=5+3.

4x=8.

x=8/4.

x=2.

therefore y=3 and x=2.

User Starsky
by
5.3k points
2 votes

Answer:

x = 2

y = 3

Explanation:

4x - y = 5..........… Equation 1

x + 2y = 8 ............. Equation 2

Make x the subject in equation 2 and substitute it into equation 1

That's

x = 8 - 2y

We have

4( 8 - 2y ) - y = 5

32 - 8y - y = 5

- 9y = - 27

Divide both sides by - 9

We have the final answer as

y = 3

Substitute y = 3 into x = 8 - 2y

That's

x = 8 - 2(3)

= 8 - 6

x = 2

Hope this helps you

User Pibben
by
5.2k points