The answer is D to the next step
m = -1
-5 = 8m + 12/4
-5 - 12/4 = 8m
4(-5) - (12/4) = 4(8m)
*to remove the denominator, multiply each figure by 4.
-20 -12 = 32m
-32 = 32m
-32/32 = 32m/32
-1 = m
m = -1
To check:
-5 = 8m + 12/4
-5 = 8(-1) + 3
-5 = -8 + 3
-5 = -5
It’s the second answer
<1=58 <2=122 <3=58
By knowing how much Mark deposits, how much he deducts and what is his initial balance, we can know what the final balance is.
We will see that the balance at the end of the month is $2224.
We know that:
Mark deposited:
$450, $312, $125, and $432.
<u>The total deposit</u> is: $450 + $312 + $125 + $432 = $1319
The deductions are:
$205 and $123
<u>The total deductions</u> are: $205 + $123 = $328
<u>The initial balance</u> is $1233.
The final balance will be equal to the initial balance plus what Mark deposits minus what Mark deducts, this is:
Final balance = $1233 + $1319 - $328 = $2224
We can conclude that the balance at the end of the month is $2224
If you want to learn more, you can read:
brainly.com/question/19245500
Y + x = 5x + 3
12 - y = x + 2y
Isolate x in the first equation, then substitute its expression into the second equation to find y:
y + x = 5x + 3
x = 5x - y + 3
-4x = -y + 3
x = y - 3/4
---
12 - y = x + 2y
12 - y = (y - 3/4) + 2y
48 - 4y = y - 3 + 8y
48 - 4y = 9y - 3
-4y = 9y -51
-13y = -51
y = 51/13
Substitute this into the first equation to find x:
51/13 + x = 5x + 3
x - 5x = 3 - 51/13
-4x = -12/13
x = 3/13
Lastly, substitute back into both original equations to check work;
y + x = 5x + 3 --> 51/13 + 3/13 = 5(3/13) + 3 --> 54/13 = 54/13
12 - y = x + 2y --> 12 - 51/13 = 3/13 + 2(51/13) --> 105/13 = 105/13
Answer:
x = 3/13
y = 51/13
Hope this helps.
