<span>The coordinates of the vertices of the triangle :
</span>(-1,1), (-4,1). <span>(-4, 4)
</span>the translation (x, y) --> (x + 3, y + 2), the new coordinates of the vertices of the triangle will be:<span>
(2, 3), </span>(-1, 3), <span>(-1, 6)
Answer:
</span><span>D. (2, 3), (-1, 3), (-1, 6)</span>
To solve, we will follow the steps below:
3x+y=11 --------------------------(1)
5x-y=21 ------------------------------(2)
since y have the same coefficient, we can eliminate it directly by adding equation (1) and (2)
adding equation (1) and (2) will result;
8x =32
divide both-side of the equation by 8
x = 4
We move on to eliminate x and then solve for y
To eliminate x, we have to make sure the coefficient of the two equations are the same.
We can achieve this by multiplying through equation (1) by 5 and equation (2) by 3
The result will be;
15x + 5y = 55 ----------------------------(3)
15x - 3y =63 --------------------------------(4)
subtract equation (4) from equation(3)
8y = -8
divide both-side of the equation by 8
y = -1
The answer should be the last one D