What is 2x+3y=2,(k+2)x+(2k+1)y=2(k-1) ?

The solution to 2x+3y=2,(k+2)x+(2k+1)y=2(k-1) is No Solution

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2x+3y=2,(k+2)x+(2k+1)y=2(k-1)

2 x + 3 y = 2, (k + 2) x + (2 k + 1) y = 2 (k - 1)

No Solution

Solution steps

[2 x + 3 y = 2 (k + 2) x + (2 k + 1) y = 2 (k - 1)]

Isolate

x

for

2 x + 3 y = 2 : x = \frac{2 - 3 y}{2}

Plug the solutions

x = \frac{2 - 3 y}{2}

into

(k + 2) x + (2 k + 1) y = 2 (- 1 + k)

For

(k + 2) x + (2 k + 1) y = 2 (- 1 + k)

, subsitute

x

with

\frac{2 - 3 y}{2} : y = 2; k \neq = 4

Plug the solutions

y = 2

into

2 x + 3 y = 2

For

2 x + 3 y = 2

, subsitute

y

with

2 : x = - 2

Verify solutions by plugging them into the original equations

No Solution

3 x + 2 y = 16, 5 x - 3 y = - 5

6 x + y = 25, 2 x + y = 13

x - y = 4, 2 x - y = 9

3 x + 2 y = 5, - x - y = - 2

- 4 x + y = 29, 5 x - 11 y = 32

What is 2x+3y=2,(k+2)x+(2k+1)y=2(k-1) ?
The solution to 2x+3y=2,(k+2)x+(2k+1)y=2(k-1) is No Solution