Question

What is the solution of the system? 2x+3y=1, 2x+y=−9 Enter your answer by filling in the boxes.

Answer 1

..I don't understand "by filling in the boxes"

I solve:

2x+3y=1

2x+y=−9

per combination:

-1(2x+3y)=1

-2x-3y=-1

we solve:

-2x-3y=-1

2x+y=-9

--->-2y=-10

--->2y=10

---> y=10/2=5

we calculate x:

2x+3y=1

2x+15=1

2x=1-15

2x=-14

x=-14/2 =-7

solution(-7;5)

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Explanation:

Answer 2

• x = -7
• y = 5

Explanation:

2x + 3y = 1 -----(equation 1)

2x +y = − 9 ----(equation 2)

Subtract equation 1 and 2

`2y = 10`

Divide both sides by 2,

`y = 5`

To find the value of x, plug the value of y in the equation no. 1

`2x + 3y = 1`

`2x + 3(5) = 1`

`2x + 15 = 1`

Subtract 15 from both sides,

`2x + 15 - 15 = 1 - 15`

`2x = -14`

Divide both sides by 2,

`x = -7`

Therefore,

• x = -7
• y = 5