George saves nickels and dimes for tolls. If he has 8 coins worth $2.60,how many are nickels and how many are dimes? Answer this question by using system of equation.
Algebraic equations with two variables will need two equations to be able to solve it. Then, you can solve it with either substitution, adding/subtracting them together, or graphing! Those are the basic steps... For example: An instance of substitution: 2x + 1 = y + 2 x + y = 3 You could isolate y in the second equation to equal y = 3-x. Then in the first equation, substitute y with what it equals to 2x + 1 = 3-x+2 Then you can solve for x!
X = 135 and y = 15 Solved by addition and substitution
To solve the following equation by substitution, we need to have the equal sign. This will help us group the knowns and the unknowns.
sub x with 0 and solve
Since the second equation is already solved for "y", you can replace "y" by "9" in the other equation. Then solve the new equation for "x".
If: x+y = 4 and y = 2x+1 Then: 4-x = 2x+1 => 3 = 3x => 1 = x So by substitution: x = 1 and y = 3
y= -4x-7 y=3x 3x= -4x-7 3x+4x=7 7x=7 x=1
This is not Calculus.y=7(Already solved)substiute y=7 into y=8xtherefore 7 = 8xtherefore x = 7/8
By definition: 4x-10 = 5-x 4x+x = 5+10 5x = 15 x = 3 and y = 2
-3x = 3 + y 3 + y - 5y = -21 -4y = -24 y = 6 x = -3
y=2x+9 and y=x+6