Answer:
x = 6 and y = 8
Step-by-step explanation:
3^x+ 2^y= 985 and 3^x– 2^y = 473 can be written in column form:
3^x+ 2^y= 985
3^x– 2^y = 473
By summing these two equations we temporarily eliminate y:
2*3^x = 985 + 473 = 1458
Then 2*3^x = 1458. We must find x.
Dividing both sides by 2 yields
3^x = 729
Note that 729 = 3^6. Therefore, x must be 6.
If x = 6, then the first equation becomes
3^6 + 2^y = 985, or
729 + 2^y = 985, or 2^y = 985 - 729 = 256
Note that 2^y = 256 = 2^8. Then y must be 8.
7229 feet = 1.369129 miles
561 seconds =0.155833 hours
She can run 1.369129 miles per 0.155833 hours
100 - 17.01 - 5 - 2 - 3 + 5 + 2 =
100 - 17.01 - 3 =
100 - 20.01 =
$ 79.99 <===
Answer:
x=−7/5and y=−6/5
Step-by-step explanation:
Step: Substitute−2x−4foryiny=3x+3:
y=3x+3
−2x−4=3x+3
−2x−4+−3x=3x+3+−3x(Add -3x to both sides)
−5x−4=3
−5x−4+4=3+4(Add 4 to both sides)
−5x=7
−5x
−5
=
7
−5
(Divide both sides by -5)
x=−7/5
