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Paraphin [41]
2 years ago
12

What is the solution to this system of equations? 4x+y=6 x-2y=6

Mathematics
2 answers:
Crank2 years ago
5 0

Answer:

y = ( -2 )

x = 2

Step-by-step explanation:

4x + y = 6 ⇒ ( 1 )

x - 2y = 6  ⇒ ( 2 )

x = 6 + 2y ⇒ ( 3 )

First, let us find the value of y.

For that, we can replace x with ( 6 + 2y ).

<u>Let us use equation 1 for that.</u>

4x + y = 6

4 ( 6 + 2y ) + y = 6

24 + 8y + y = 6

24 + 9y = 6

9y = 6 - 24

9y = -18

<em>Divide both sides by 9.</em>

<u>y = -2</u>

Now let us find the value of x by replacing y with -2.

<u>For that let us take equation 3.</u>

x = 6 + 2y

x = 6 + 2 × -2

x = 6 - 4

<u>x = 2</u>

Darina [25.2K]2 years ago
4 0

x=2 and y=(-2)

hope it helps...

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