 Solve each system by graphing.
1 answer:
9514 1404 393
Answer:
(x, y) = (4, -4)
Step-by-step explanation:
A graphing calculator makes graphing very easy. The attachment shows the solution to be (x, y) = (4, -4).
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The equations are in slope-intercept form, so it is convenient to start from the y-intercept and use the slope (rise/run) to find additional points on the line.
The first line can be drawn by staring at (0, -2) and moving down 1 grid unit for each 2 to the right.
The second line can be drawn by starting at (0, 2) and moving down 3 grid units for each 2 to the right.
The point of intersection of the lines, (4, -4), is the solution to the system of equations.
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Answer:
a₇₄ = - 209
Step-by-step explanation:
There is a common difference between consecutive terms , that is
79 - 83 = 75 - 79 = - 4
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 83 and d = - 4 , then
a₇₄ = 83 + (73 × - 4) = 83 + (- 292) = 83 - 292 = - 209