4a+3a-4 = 10 4a+3a = 10+4 7a = 14 a = 2
4a-2=7a-6 4=3a a=4/3
3a-9 = 6 3a = 6+9 3a = 15 a = 15/3 a = 5 Substitute a = 5 into 4a-1. 4a-1 =4(5)-1 =20-1 =19 Therefore, the value of 4a-1 is 19.
a-16 = a/4+2 Multiply all terms by 4: 4a-64 = a+8 4a-a = 8+64 3a = 72 a = 24
3a + 11 = 7a - 13 subtract 3a from each side 3a - 3a + 11 = 7a - 3a - 13 11 = 4a - 13 add 13 to each side 11 + 13 = 4a - 13 + 13 24 = 4a divide each sides integer by 4 24/4 = (4/4)a 6 = a -------------check in original equation 3(6) + 11 = 7(6) - 13 18 + 11 = 42 - 13 29 = 29 ----------------checks out
4a+3a-4 = 10 4a+3a = 10+4 7a = 14 a = 2
4a + 3a = (4 + 3)a = 7a
(a + 2)(3a - 2)
4a-2=7a-6 4=3a a=4/3
3a + 4 = 4a - 3 4 = a -3 (subtract 3a from each side) 7 = a (add 3 to both sides) a = 7
3a2
3a-9 = 6 3a = 6+9 3a = 15 a = 15/3 a = 5 Substitute a = 5 into 4a-1. 4a-1 =4(5)-1 =20-1 =19 Therefore, the value of 4a-1 is 19.
a-16 = a/4+2 Multiply all terms by 4: 4a-64 = a+8 4a-a = 8+64 3a = 72 a = 24
It is 4a2.
3a + a = 4a Example: a = 5 (3x5) + 5 = 15 + 5 = 20 = 4 x 5
3a + 11 = 7a - 13 subtract 3a from each side 3a - 3a + 11 = 7a - 3a - 13 11 = 4a - 13 add 13 to each side 11 + 13 = 4a - 13 + 13 24 = 4a divide each sides integer by 4 24/4 = (4/4)a 6 = a -------------check in original equation 3(6) + 11 = 7(6) - 13 18 + 11 = 42 - 13 29 = 29 ----------------checks out
Clearly, there are some signs missing. So let's try the four possibilities for the second terms: 1. + and + 3a + 4b = 7a + 4b Subtract 4b from each side: 3a = 7a Subtract 3a from each side: 0 = 4a Answer : a = 0, b indeterminate (ie can have any vaue). 2. + and - 3a + 4b = 7a - 4b Subtract 4b from each side: 3a = 7a - 8b Subtract 7a from each side: -4a = -8b or 4a = 8b Answer: a = 2b 3. - and - 3a - 4b = 7a - 4b Add 4b to each side: 3a = 7a Subtract 3a from each side: 0 = 4a Answer : a = 0, b indeterminate (ie can have any vaue). 4. - and + 3a - 4b = 7a + 4b Add 4b to each side: 3a = 7a + 8b Subtract 7a from each side: -4a = 8b or 4a = -8b Answer: a = -2b Can't do better than that with the information available.