Which question do you need
Answer:
The larger number is -6, the smaller number is -15
Step-by-step explanation:
We have two numbers, a and b.
We know that one number is larger than another by 9.
Then we can write:
a = b + 9
then a is larger than b by 9 units.
If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:
(a + 10) + 3*b = -41
So we got two equations:
a = b + 9
(a + 10) + 3*b = -41
This is a system of equations.
One way to solve this is first isolate one variable in one of the two equations:
But we can see that the variable "a" is already isolated in the first equation, so we have:
a = b + 9
now we can replace that in the other equation:
(a + 10) + 3*b = -41
(b + 9) + 10 + 3*b = -41
now we can solve this for b.
9 + b + 10 + 3b = -41
(9 + 10) + (3b + b) = -41
19 + 4b = -41
4b = -41 -19 = -60
b = -60/4 = -15
b = -15
then:
a = b + 9
a = -15 + 9 = -6
a = -6
It would be 26.6 as the answer
Answer: 26/3
Step-by-step explanation: When dividing by a fraction, we can change
the division sign to multiplication and flip the second fraction.
So 13/2 ÷ 3/4 means the same thing as 13/2 · 4/3.
So when dividing by a fraction, we can just multiply
by the reciprocal of that fraction or that fraction flipped.
Next we cross-cancel.
4 and 2 reduce to 2 and 1.
Multiplying across the numerator and denominators we have 26/3.
Based on my knowledge, you’d set both equations equal to y, and then set both sides equal to each other then solve.
y=-5+x
y=-2x-4
-5+x=-2x-4
then solve from there
(this could be completely wrong, so don’t only go by my opinion)