from the set {1,5,7,or none of them} using substitution to determine the value of x if its 14x + 9=79
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Set up the system of equations:
We'll use elimination to solve this system of equations.
Take the coefficients for y in both problems. Multiply one of them by -1:
Since this coefficient is taken from the first problem, we'll multiply the entire second problem by this negative coefficient:
Take the coefficient for y in the second problem and multiply the entire first problem by that coefficient:
Your system should now look like this:
Combine these two equations to cancel out y:
Divide both sides by 5 to get x by itself:
A fairy soda costs $1.50.
Because we know the value of one of the variables, we can plug it into one of the equations:
Subtract 12 from both sides:
Divide both sides by 5 to get y by itself:
A fairy hotdog costs $3.75.
We'll use elimination to solve this system of equations.
Take the coefficients for y in both problems. Multiply one of them by -1:
Since this coefficient is taken from the first problem, we'll multiply the entire second problem by this negative coefficient:
Take the coefficient for y in the second problem and multiply the entire first problem by that coefficient:
Your system should now look like this:
Combine these two equations to cancel out y:
Divide both sides by 5 to get x by itself:
A fairy soda costs $1.50.
Because we know the value of one of the variables, we can plug it into one of the equations:
Subtract 12 from both sides:
Divide both sides by 5 to get y by itself:
A fairy hotdog costs $3.75.