# SOLUTION: If three times the first number plus four times the second number equals 26, and ten times the first number and minus two times the second number equals 10, what are the numbers?

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 Question 145978: If three times the first number plus four times the second number equals 26, and ten times the first number and minus two times the second number equals 10, what are the numbers?Answer by ankor@dixie-net.com(15632)   (Show Source): You can put this solution on YOUR website!Let x = 1st number Let y = 2nd number : Write an equation for each statement: "If three times the first number plus four times the second number equals 26," 3x + 4y = 26 : "ten times the first number and minus two times the second number equals 10," 10x - 2y = 10 : what are the numbers? ; We can use elimination here; multiply the 2nd equation by 2 and add to the 1st 20x - 4y = 20 3x + 4y = 26 -----------------adding eliminates y 23x + 0y = 46 x = x = 2 : Use the 1st equation to find y, (substitute 2 for x), Check the solutions in the 2nd equation.