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Ad libitum [116K]
2 years ago
14

Solve the simultaneous equations using an algebraic method. x + 2y = 13 3x + y = 24

Mathematics
1 answer:
Firlakuza [10]2 years ago
4 0
X=7, y=3
because it is an algebraic method you have to solve for an x or y in either equation, and then plug that into the other equation. it’s helpful for these problems to check your work and plug the numbers back into the equations and the end for future reference !

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To find the distance between any two points, we can consider using the distance formula. Recall that:

\displaystyle d  = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let F(-2, 1) be (<em>x</em>₁, <em>y</em>₁) and A(4, -2) be (<em>x</em>₂, <em>y</em>₂).

Substitute and evaluate:

\displaystyle \begin{aligned} FA &= \sqrt{((4) - (-2))^2 + ((-2) - (1)^2} \\ \\&=\sqrt{(6)^2 + (-3)^2} \\ \\&=\sqrt{36 + 9} \\ \\ &= \sqrt{45} \\ \\ &= 3\sqrt{5}\\ \\&\approx 6.71\text{ units}  \end{aligned}

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