The ordered pair that is the best estimate for the solution to the system is (0.5, -3.5)
Ordered Pair:
An ordered pair refers to a set of two numbers used to locate a point in a coordinate plane. Here the first point refers the x - coordinate and the second value represents the y - coordinate.
Given,
Her we have the equations,
3x - 8y = 29
3x + y = -2
Now, we need to find the solution of the system.
Here we have to use the substitution method in order to solve this one.
For that, we have to rewrite the second equation as,
y = -2 - 3x.
Now, we have to apply the value of y on the equation (1), then we get,
3x - 8(-2 - 3x) = 29
3x + 16 + 24x = 29
27x = 29 - 16
27x = 13
x = 13/27
x = 0.5
When we apply the value of x into the equation, then we get the value of y as,
y = -2 - 3(0.5)
y = -2 - 1.5
y = -3.5
Therefore, the solution of the system is (0.5, - 3.5).
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