Question

The sum of two numbers is 84. The square of the first number is 6 more than the second number.

Answer 1

The system of equations to find the value of x, the first number, and y, the second number are;

y = -x + 84

y = x² + 6

System of equation

The system of equation are equations that contains more than two equation and unknown.

Let the two unknown numbers x and y

If the sum of two numbers is 84, hence;

x +y = 84

y = -x + 84

If the square of the first number is 6 more than the second number, hence;

x² = y + 6

Substitute equation 2 into 2 to have:

x² = y + 6

x² = (-x+84) + 6

x² = -x+84 + 6

x² +x+84 + 6  = 0

x² +x + 90 = 0

Hence the system of equations to find the value of x, the first number, and y, the second number are;

y = -x + 84

y = x² + 6

Learn more on system of equation here; brainly.com/question/12861087

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