Answer:
Let's solve your system by elimination.
3x+4y=29;6x+5y=43
Multiply the first equation by -2,and multiply the second equation by 1.
−2(3x+4y=29)
1(6x+5y=43)
Becomes:
−6x−8y=−58
6x+5y=43
Add these equations to eliminate x:
−3y=−15
Then solve−3y=−15for y:
−3y=−15
−3y
−3
=
−15
−3
(Divide both sides by -3)
y=5
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
3x+4y=29
Substitute5foryin3x+4y=29:
3x+(4)(5)=29
3x+20=29(Simplify both sides of the equation)
3x+20+−20=29+−20(Add -20 to both sides)
3x=9
3x
3
=
9
3
(Divide both sides by 3)
x=3
Answer:
x=3 and y=5
Step-by-step explanation:
I love this stuff 229 999 0523
Answer:
She has 23 nickles and 5 dimes.
Step-by-step explanation:
Let n = the number of nickles and d = the number of dimes.
The number of each = 28. Set up the equation:
n + d = 28
Solve for n:
n = 28 - d
The total amount is $1.65 or 165 cents:
5n + 10d = 165
Substitute:
5(28 - d) + 10d = 165
140 - 5d + 10d = 165
140 + 5d = 165
5d = 165 - 140
5d = 25
d = 5, the number of dimes.
Solve for n:
n = 28 - d
n = 28 - 5 = 23, the number of nickles.
Proof:
5n + 10d = 165
5(23) + 10(5) = 165
115 + 50 = 165
165 = 165
Hope this Helps! Have an Awesome Day!! (-:
Complementary angle pairs add to 90
Answer:
it would be very likely that it would land heads up, about 100 times.
Step-by-step explanation: