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Eliminate one of the variables. 7x - 5y = 40 8x + 5y = -31
15x = 9
Eliminate one of the variables -4x + 12y = 13 4x - 3y = -13
9y = 0
Write as an equation: Nathan has 9 more cars than William. (Let n be the the number of cars Nathan has and w be the number of cars William has.)
n = w + 9
Write as an equation: Sarah has 3 times as many dolls as Kristina. (Let s be the the number of dolls Sarah has and k be the number of dolls Kristina has.)
s = 3k
Solve for x: 7x + 3 = 4x - 7
x = -10/3
Solve for y: 16 + 5y = 31
y = 3
Solve for y: 5(-2) + 8y = -42
y = -4
Eliminate one of the variables: -3x + 8y = 14 5x + 8y = -10
-8x = 24 or 8x = -24
Eliminate one of the variables: -2x + 5z = 20 -2x + 6z = -5
-z = 25 or z = -25
Write an equation: Jeremy has a bunch of coins in his pockets, all dimes and quarters. They are worth $2.70. (Let d be the number of dimes and q be the number of quarters.)
10d + 25q = 270 or .10d + .25q = 2.70
Solve for x: 3x + 2(8) = 22
x = 2
Eliminate the variable y: x - 2y = 3 -7x + 6y = -45
-4x = -36
-4x + 5y = 35 If y = -1, what is x?
x = -10
Write an equations: Joe has a lot of money in his pocket, all $20 and $50 bills. They are worth $500 all together. (Let t be the number of twenties and f be the number of fifties.))
20t + 50f = 500
Isolate y: 7x + y = 47
y = 47 - 7x or y = -7x + 47
Isolate y: 6x + 3y = 27
y = 9 - 2x or y = -2x +9
