Step-by-step explanation:
y=6+4x, as equation (iii)
=> -5x-(6+4x)=21
=> -5x-6-4x=21
=> -5x-4x-6=21
=> -9x-6=21
=> -9x=21+6
=> -9x=27
x= -3, by dividing both sides by -9
So, by inserting x in the first equation,
=> -4(-3)+y=6
=> 12+y=6
=> y=6-12
=> y= -6.
Therefore, x= -3 and y= -6
Using linear combination method to solve the system of equations 3x - 8y = 7 and x + 2y = -7 is (x, y) = (-3, -2)
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Solution:</u></h3>
Given that, a system of equations are:
3x – 8y = 7 ⇒ (1) and x + 2y = - 7 ⇒ (2)
We have to solve the system of equations using linear combination method and find their solution.
Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated. Addition or subtraction can be used to perform a linear combination.
Now, let us multiply equation (2) with 4 so that y coefficients will be equal numerically.
4x + 8y = -28 ⇒ (3)
Now, add (1) and (3)
3x – 8y = 7
4x + 8y = - 28
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7x + 0 = - 21
7x = -21
x = - 3
Now, substitute "x" value in (2)
(2) ⇒ -3 + 2y = - 7
2y = 3 – 7
2y = - 4
y = -2
Hence, the solution for the given two system of equations is (-3, -2)
Answer:
Janninne made 68% then 3/25 turned into percentage 12% then 0.2 equals 20%. So you order it by 68% (Janinee), 20% (Kathy), AND 12% (Monique)
Answer: 191.75 quarts.
Step-by-step explanation:
We know that:
1 quart = 4 cups.
Then:
1 cup = 1/4 quarts.
this means that 1 cup, is equal to 1/4 quarts.
Then 767 cups is equal to 767 times 1/4 quarts.
The change of units is simply:
767 cups = 767*( 1/4 quarts) = 191.75 quarts.
You can play 8 games as you only have 17 dollars left after buying the snack. If you wanted to get rid of the 1 dollar remaining, tip the shop.
