Help with linear equations with decimals, please help!?

Question

Please help me solve these!

63. 0.05x + 0.12(x+5000) = 940

65. 0.02(50) + 0.08r = 0.04(50 + r)

67. 0.05x + 0.10(200-x) =0.45x

Any help is so appreciated! Thanks so much!

Answer 1

For the first one, X = 2000.

That's got you started.

Answer 2

63)

first, distribute the .12

.05x + .12x + 600 = 940

then add the x's together

.17x + 600 = 940

then get the x term alone on one side, so subtract the 600 from both sides

.17x = 340

then get rid of the .17 by dividing both sides by .17

x = 2000

just follow the same steps for the other problems, and you should get the answer

Answer 3

Solve them like any other equations.  Either use them as is, as I shall do in 63 and 65, or multiply throughout by 100 as I shall do in 67.

63.

.05x + .12x + 600 = 940

.17x = 340

x = 340/0.17 = 2000

65.

.02(50) + .08r = .04(50 + r)

1 + .08r = 2 + .04r

.04r = 1

r = 1/.04 = 25

67.

.05x + .10(200 - x) = .45x

5x + 10(200 - x) = 45x

5x + 2000 - 10x = 45x

2000 = 50x

x = 40