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What is the solution to the system of equations below when graphed y= -2x +3, y= -4x + 15

User Flupp
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1 Answer

5 votes

Answer:

(6, -9) → x = 6, y = -9

Explanation:

These are linear functions. The graph is a straight line. We only need two points to draw a graph.

We choose any two values of x, substitute and calculate the value of y.

For y = -2x + 3

x = 0 → y =-2(0) + 3 = 0 + 3 = 3 → (0, 3)

x = 1 → y = -2(1) + 3 = - 2 + 3 = 1 → (1, 1)

For y = -4x + 15

x = 3 → y = -4(3) + 15 = -12 + 15 = 3 → (3, 3)

x = 4 → y = -4(4) + 15 = -16 + 15 = -1 → (4, -1)

Look at the picture.

The solution is the coordinates of the point of intersection of lines.

What is the solution to the system of equations below when graphed y= -2x +3, y= -4x-example-1
User Ben Grossmann
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5.1k points