Seven times the first number plus 6 times the second number equals 36. Three times the first number minus ten times the second number is 28. What are the two numbers?

the first number is 6

The second number is - 1

Step-by-step explanation:

Let x represent the first number.

Let y represent the second number.

Seven times the first number plus 6 times the second number equals 36. This means that

7x + 6y = 36- - - - - - - - - - - - 1

Three times the first number minus ten times the second number is 28. This means that

3x - 10y = 28 - - - - - - - - - - -2

Multiplying equation 1 by 3 and equation 2 by 7, it becomes

21x + 18y = 108

21x - 70y = 196

Subtracting, it becomes

88y = - 88

y = - 88/88

y = - 1

Substituting y = - 1 into equation 1, it becomes

7x + 6 × - 1 = 36

7x - 6 = 36

7x = 36 + 6 = 42

x = 42/7

x = 6

the answer is here: : )

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