Find the greatest number that will divide 153 ,204 and 357 without leaving any remainder.

51.

Step-by-step explanation:

Finding the prime factors:

153 = 3 * 3 * 17

204 = 2 * 2 * 3 * 17

357 = 3 * 7 * 17

3 * 17 is common to all three sets of factors.

So the greatest common factor (GCF) = 3*17 = 51.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

step-by-step explanation:

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