2p + 3q = 13, 5p - 4q = -2 Multiply the first equation by 4 and the second by 3 and add them, which gets rid of the q: 8p + 15p = 52 - 6, and 23p = 46, so p=2. Plug that into the first equation to find q: 4 + 3q = 13, so q=3. Test your answers in the second equation to be sure: 5(2) - 4(3) = 10-12 = -2. It checks. So p=2, q=3.
q - 9q = -8q
log2 sqrt(q) = p/2 log2 8q = 3 + p And it is root, not route.
54
36.75
6p+11q+4
3q+11+8q>99
3q+11+8q>99
q=-6
Only if the value of "q" is greater than 8.
steps to solve 4(3q-q): =(4)(3q+-q) =(4)(3q)+(4)(-q) =12q-4 answer: 8q
3q + 11 + 8q > 99 11q + 11 > 99 Subtract '11' from both sides 11q > 99 - 11 11q > 88 Divide both sides by (+)11 q > 88/11 q > 8 ('q' is greater than '8'). Verification When q = 7 (8) 11(9) = 99 > 88 (True) 1
It is equivalent to: -8q-28
16p + 6q - 3p - 8q = (16p - 3p) + (6q - 8q) = 13p -2q
The GCF = 4. 20p - 60pq + 32q = 4(5p - 15pq + 8q).
2p + 3q = 13, 5p - 4q = -2 Multiply the first equation by 4 and the second by 3 and add them, which gets rid of the q: 8p + 15p = 52 - 6, and 23p = 46, so p=2. Plug that into the first equation to find q: 4 + 3q = 13, so q=3. Test your answers in the second equation to be sure: 5(2) - 4(3) = 10-12 = -2. It checks. So p=2, q=3.
To solve an equation, the goal is to get the variable by itself. In this case the variable is q. -6=8q-4 first you want to get 8q by itself because the 8 and the q are together right now. So add 4 to each side to cancel it out on the side that has a -4. -6+4=8q simplify. -2=8q then to get rid of the 8, you have to divide both sides by 8 and then you get q by itself. -2/8=q simplify again. -1/4=q q=-1/4 :)