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zubka84 [21]
3 years ago
9

What ordered pair is a solution to y = x + 5 and x - 5y = -9? I also need to show the work.

Mathematics
1 answer:
Margarita [4]3 years ago
3 0

Answer:

(- 4, 1 )

Step-by-step explanation:

Given the 2 equations

y = x + 5 → (1)

x - 5y = - 9 → (2)

Substitute y = x + 5 into (2)

x - 5(x + 5) = - 9 ← distribute and simplify left side

x - 5x - 25 = - 9

- 4x - 25 = - 9 ( add 25 to both sides )

- 4x = 16 ( divide both sides by - 4 )

x = - 4

Substitute x = - 4 into either of the 2 equations and evaluate for y

Substituting into (1)

y = - 4 + 5 = 1

Solution is (- 4, 1 )

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Find the average rate of change for the given function from x = 1 to x = 2.
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Answer and explanation please?
nignag [31]
The answer would be A. m= -3/5 and b=-4/5
"m= -5-1 divided by 7--3
or, -6/10
or, -3/5.

to find the (B)

<span><span>(-3,1). y=mx+b or 1=-3/5 × -3+b, or solving for b: b=1-(-3/5)(-3). b=-4/5.</span><span>(7,-5). y=mx+b or -5=-3/5 × 7+b, or solving for b: b=-5-(-3/5)(7). b=-4/5.</span></span>See! In both cases we got the same value for b. And this completes our problem.

<span><span>The equation of the line that passes through the points(-3,1) and (7,-5)is</span><span>y=-3/5x-4/5"</span>
Source: webmath</span>
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