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3 years ago

What value of b will cause the system to have an infinite number of solutions? y=6x-b -3x+1/2y=-3

Mathematics

1 answer:

Serhud [2]3 years ago

7 0

Answer:

b = 6

Step-by-step explanation:

solve the second equation for 'y':

-3x + 1/2y = -3

add 3x to each side to get:

1/2y = 3x - 3

multiply all terms by 2 to eliminate the denominator to get:

y = 6x - 6

now compare '6x-6' with '6x-b'

you want both expressions to be equal because then there are an infinite number of solutions:

b = 6

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3 years ago

At Clement's Jr. High School, a student needs an 86 average to earn a B. Sue's average on

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Sue must score 94 on the final test to earn a B.

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There are five tests in total.

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4 years ago

Lines AD and BC are parallel.

allochka39001 [22]

*see attachment for the missing figure

Answer:

Angle ADE = 45°

Angle DAE = 30°

Angle DEA = 105°

Step-by-step explanation:

Since lines AD and BC are parallel, therefore:

Given that angle Angle CBE = 45°,

Angle ADE = Angle CBE (alternate interior angles are congruent)

Angle ADE = 45° (Substitution)

Angle DAE = Angle ACB (Alternate Interior Angles are congruent)

Angle ACB = 180 - 150 (angles on a straight line theorem)

Angle ACB = 30°

Since angle DAE = angle ACB, therefore:

Angle DAE = 30°

Angle DEA = 180 - (angle ADE + angle DAE) (Sum of angles in a triangle)

Angle DEA = 180 - (45 + 30) (Substitution)

Angle DEA = 180 - 75

Angle DEA = 105°

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