We need to use the variables m and n to represent both numbers.
Their sum must equal -15. Therefore, we can write the next equation:
m + n = -15
If one number is five less than the other, we need to choose one variable and then we can write it in terms of the other variable. Then:
n = m-5
To find the value for each number, we can replace the n equation on the first equation:
m + n = -15
m + (m-5)= -15
Then:
m + m - 5 = -15
2m -5 = -15
Solve the equation for m:
Add both sides 5 units:
2m - 5 +5 = -15+5
2m = -10
Divide both sides by 2:
2m/2 = -10/2
m = -5
Finally, replace the m value on the first equation:
m + n = -15
-5 + n = -15
Then, solve the equation for n:
Add both sides by 5:
-5+5 + n = -15 +5
n = -10
Hence, both numbers are m=-5 and n= -10.
The equations separated by a comma are m + n = -15,n = m-5.
The numbers separated by a comma are -5,-10.
Answer:
x = 45
Step-by-step explanation:
Given
= 9
Multiply both sides by 5
x = 5 × 9 = 45
Answer:
4
4+4-4=4 im not sure actually D:
So we want to solve <span><span><span>2x </span>− 40 </span>= <span>3y </span></span>for x<span><span><span><span>2x </span>− 40 </span>+ 40 </span>= <span><span>3y </span>+ 40</span></span>(Add 40 to both sides!)<span><span>2x </span>= <span><span>3y </span>+ <span>40
Now divide both sides by 2!
</span></span></span>
Now substitute
Which then gives us..
<span><span>2y </span>= <span><span>−<span>6y </span></span>− 32</span></span>(Make sure to simplify both sides of the equation)<span><span><span>2y </span>+ <span>6y </span></span>= <span><span><span>−<span>6y </span></span>− 32 </span>+ <span>6y</span></span></span>(Now add 6y to both sides)<span><span>8y </span>= <span>−<span>32
Now divide both sides by 8
</span></span></span>
Now we have to substitute -4 for y in
So we end up getting...
<span>
x = <span><span>
14<span>
and </span></span>
y </span></span>
= <span>
−<span>
4.
</span></span>
Hope this helps!