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What is the solution of the system?
Use the elimination method.
-4x + y = -6
18x – 2y = 14
The only solution is (0, - 3/2)
The only solution is (0,– 6).

There is an infinite number of solutions.
There is no solution.

Respuesta :

calculista

Answer:

The only solution is (0.2,-5.2)

Step-by-step explanation:

we have

[tex]-4x + y=-6[/tex] ----> equation A

[tex]18x-2y=14[/tex] ----> equation B

Solve the system by elimination

Multiply the equation A by 2 both sides

[tex]2(-4x + y)=2(-6)[/tex]

[tex]-8x + 2y=-12[/tex] -----> equation C

Adds equation C and equation B

[tex]-8x + 2y=-12\\18x-2y=14\\-------\\-8x+18x=-12+14\\10x=2\\x=0.2[/tex]

Find the value of y

substitute the value of x in any of the equations

[tex]-4(0.2) + y=-6[/tex]

[tex]y=-6+0.8[/tex]

[tex]y=-5.2[/tex]

The only solution is (0.2,-5.2)

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