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What value of b will cause the system to have an infinite number of solutions? A system of equations. y equals 6 x plus b. negative 3 x plus StartFraction one-half EndFraction y equals negative 3.

Respuesta :

calculista

Answer:

[tex]b=-6[/tex]

Step-by-step explanation:

we have

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

[tex]-3x+\frac{1}{2}y=-3[/tex] -----> equation B

we know that

If equation A is the same of equation B, then the system of equations will have infinite solutions

Convert equation B in slope intercept form

Isolate the variable y

Multiply by 2 both sides to remove the fractions

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

Adds 6x both sides

[tex]y=6x-6[/tex]  -----> equation C (slope intercept form)

Equate equation A and equation C and solve for b

[tex]6x+b=6x-6[/tex]  

[tex]b=-6[/tex]

yasypichu

Answer:

The answer to this question is -6.

Hope this helps!!! :)

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