8a+4a=144 12a=144 12a/12=144/12 A=144
Add the equations: 4a + 4a - 5b + 5b = 7 + 17 ie 8a = 24 a = 3, so b = 1
Because of limitations with the question software, some symbols cannot be rendered, so we don't know what operation there is between the 5a and the 4a-1. Assuming a plus sign produces an inconsistent equation. But if we assume a / (slash) for division, we get a quadratic equation that produces some reasonable roots, so here's what I think the question is: Can you solve the following equation for a: 5a/(4a-1) = 9a-4 ? Yes you can! Multiply both sides of the equation by 4a-1. This gives you: 5a = (9a-4)(4a-1) Expand the right side, which gives you 5a = 36a2 -9a -16a + 4 Subtract 5a from both sides and group similar terms: 0 = 36a2 -30a + 4 Now, use the quadratic formula to solve for a(left to the student): a1 = 2/3; a2 = 1/6
9=4a+13 9-13=4a -4=4a -4/4=a -1=a a=-1
4a + 6 - 4a = -10 Combining like terms: 6 = -10 or 4 = 0 which is FALSE. So the solution set is empty.
Solve the following equation for A : 2A/3 = 8 + 4A
2a^3=8+4a2a^3-4a-8=0 a^3-2a-4=0 It occurred to me just now by looking at the equation that a=2 would work. And it does. So that's your answer.
2a/3=8+4a2a=3(8+4a) 2a=24+12a -10a=24 a=-24/10 a=-12/5
4a - 2.1 = 9a + 5.4 4a - 9a = 5.4 +2.1 -5a = 7.5 -a = 1.5 a = -1.5
8a+4a=144 12a=144 12a/12=144/12 A=144
The given equation is 4a^2 - 16a = 0. Factoring out a common factor of 4a, we get 4a(a - 4) = 0. This equation is satisfied when either 4a = 0 or (a - 4) = 0. Solving these, we find that the solution set is a = 0 and a = 4.
4a - 5b = 74a +5b = 17From the first equation:4a = 7 + 5bsubstitute this value in the second equation:7 + 5b + 5b = 177 + 10b = 1710b = 10b = 1Now,solve for a :4a - 5(1) = 74a = 7 + 54a = 12a = 3
a + 4 = 10(a + 4) - 4 = 10 - 4a = 6
Add the equations: 4a + 4a - 5b + 5b = 7 + 17 ie 8a = 24 a = 3, so b = 1
4a - 9 = 27 4a = 36 a = 9
Without an inequality sign it can't be considered to be an equation but it can be simplified to: 4-2a
a-16 = a/4+2 Multiply all terms by 4: 4a-64 = a+8 4a-a = 8+64 3a = 72 a = 24