In order to solve using elimination, we need to be able to get rid of one variable, so that we can solve for the other. We need to subtract these two equations given from one another, or multiply the bottom equation by a negative and add them together.
(-5x + 6y = 8) - (-5x + 4y = 2)
(-5x + 6y = 8) + (5x - 4y = -2)
0x + 2y = 6
2y = 6
y = 3
Now that we know the value of one variable, we can take that value and plug it back into one of the original equations and solve for the value of the other variable.
-5x + 6y = 8
-5x + 6(3) = 8
-5x + 18 = 8
-5x = -10
x = 2
The solution to this system of equations is (2, 3).
Hope this helps!! :)
So you know that a pound of rice crackers cost $42.88. You also know that Jacob bought 1/4 or 25% or 0.25 of a pound. This means that by multiplying 0.25 by $42.88, you can determine the cost.
0.25 x 42.88 = 10.72
Therefore, Jacob paid 10.72 cents or $10.72 for 1/4 pound of rice crackers
2/a= a/50
Cross multiply:
a* a= 2*50
⇒ a^2= 100
⇒ a= √100 or a= -√100
⇒ a= 10 or a= -10
Final answer: a= 10 or a= -10~
