Answer:
The solution of the system can be given as (5,-8).
Step-by-step explanation:
Given system of equations:
To solve the given system of equations:
Solution:
We will use substitution to solve the given system.
We will substitute the 
values in terms of 
from the equation into the other equation to solve for
Substituting into .
We have:
<em>Using distribution.</em>
<em>Combining like terms.</em>
Adding 6 both sides.
Dividing both sides by 3.
∴ 
<em>Plugging in into .</em>
We have,
∴ 
The solution of the system can be given as (5,-8).
Answer:
x = 3
y = -2
Step-by-step explanation:
x + 2y = -1
2x – 3y =12
Using substitution means that in one equation you solve for a variable. In this case, the first equation would be easier to solve for x since there are no coefficients.
x = -2y - 1
Now, we plug in the value of x into the second equation, and solve for y.
2 (-2y - 1) - 3y = 12
-4y - 2 - 3y = 12
-7y - 2 = 12
-7y = 14
y = -2
Since we have a numerical value of y, we can use it to solve for x by plugging it into one of the original equations.
x + 2(-2) = -1
x - 4 = - 1
x = 3
If you'd like to check the answer, plug in both values you got to the original equations!
I hope this helps!
5:2:11=15:6:33
Multiply by 6/2=3
Answer:
3/8
Step-by-step explanation:
Given:
- 2 cheese balls in walnuts
But she has 3/4 cup of pecans, so each cheese balls in pecans is: 3/4:2 = 3/8
So the fraction of a cup can she use for each cheese ball is: 3/8
It's the same as adding 2 fractions the product of 2 rational numbers is rational
