The system of equations to find the value of x, the first number, and y, the second number are;
<em>y = -x + 84</em>
<em>y = x² + 6</em>
<h3>System of equation</h3>
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;
<em>y = -x + 84</em>
<em>y = x² + 6</em>
Learn more on system of equation here; brainly.com/question/12861087
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