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2 years ago

What is the solution to the system of equations?

Mathematics

1 answer:

lyudmila [28]2 years ago

4 0

y=5x+2--(1)

3x=-y+10

y=-3x+10--(2)

Equating both

5x+2=-3x+10
8x=8
x=1

Put in first one

y=5(1)+2
y=7

Solution is (1,7)

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3 years ago

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3 years ago

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3 years ago

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3 years ago

Read 2 more answers

ΔCAR has coordinates C (2, 4), A (1, 1), and R (3, 0). A translation maps point C to C' (3, 2). Find the coordinates of A' and R

shutvik [7]

Answer:

$A'= (2,-1)$ and $R'=(4,-2)$ under this translation.

Step-by-step explanation:

A translation in $R^{2}$ is a mapping T from $R^{2}$ to $R^{2}$ defined by $T(x,y) = (x + v_1,y+v_2)$ , where $v=(v_1,v_2)$ is a fixed vector in $R^{2}$ .

From the problem we know that $T(2,4)=(3,2)$ , so we need to find the values $v_1$ and $v_2$ such that $T(2,4) = (2 + v_1,4+v_2)=(3,2)$ , so $3=2 + v_1$ and $4+v_2=2$ , thus $v_1=1$ and $v_2=2$ .