Part A: Find the LCM of 8 and 9. Show your work. Part B: Find the GCF of 35 and 63. Show your work.
Part C: Using the GCF you found in Part B, rewrite 35 +63 as two factors. One factor is
the GCF and the other is the sum of two numbers that do not have a common factor.
Show your work.

9514 1404 393

  A.  72

  B.  7

  C.  35+63 = 7(5+9)

Step-by-step explanation:

A. The two numbers differ by 1, so can have no common factors. Their LCM is their product:

  LCM(8, 9) = 8·9 = 72

__

B. It helps to know your times tables.

  35 = 5·7

  63 = 7·9

The GCF of these numbers is their only common (prime) factor: 7.

  GCF(35, 63) = 7

__

C. Using the distributive property:

  35 +63 = 7·5 +7·9

  35 +63 = 7(5 +9)

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

51-50

step-by-step explanation: