Question

x2 + y2 = 153
y = -4x
If (x, y) is a solution to the system of equations above, what is the value of x??

Answer 1

The value of x from the equation equations given where; (x,y) is a solution is; x = 3

According to the question given;

• x2 + y2 = 153 and
• y = -4x

By evaluating the value of y² and substituting into equation, x² + y² = 153 ; we have;

• y² = 16x²

Therefore, we have;

• x² + 16x² = 153

• 17x² = 153

• x² = 153/17

• x² = 9

• x = √9

x = 3.

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