Answer:
Step-by-step explanation:
<em>Hey there!</em>
<em />
Well to find the solution the the given system,
3y - 2x = -9
y = -2x + 5
So to find x lets plug in -2x + 5 for y in 3y - 2x = -9.
3(-2x + 5) - 2x = -9
Distribute
-6x + 15 - 2x = -9
-8x + 15 = -9
-15 to both sides
-8x = -24
Divide -8 to both sides
<u>x = 3</u>
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Now that we have x which is 3, we can plug in 3 for x in y = -2x + 5.
y = -2(3) + 5
y = -6 + 5
<u>y = -1</u>
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So the solution is (3,-1).
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<em>Hope this helps :)</em>
Answer:
x < -11/6.
Step-by-step explanation:
−12x + 13 > 35
-12x > 35 - 13
-12x > 22
Divide both sides by -12 and invert the inequality sign:
x < -22/12
x < -11/6.
Answer:
Infinite
Step-by-step explanation:
3(4x + 1) - 2
= 12x + 3 - 2 (Multiply the sum in the bracket by 3)
= 12x + 1 (Simplify)
This means that:
12x + 1 = 3(4x + 1) - 2
is the same as
12x + 1 = 12x + 1
Hence, anything that is used to substitute x is correct.
Distance swam in 5 minutes = 85.4 yards
Since, 1 min = 60 seconds and 1 yard = 0.91 meter
5 minutes = 
seconds
85.4 yards = 
meters
So, Distance swam in 300 seconds = 77.7 meters
Now, we will use unitary method to determine the distance swam in 70 seconds.
Distance swam in 1 second = 
= 0.26 meter
So, Distance swam in 70 seconds = 
= 18.2 meters
Therefore, the swimmer took 70 seconds to cover the distance of 18.2 meters.
Answer:
The sandals cost before tax $25.
Step-by-step explanation:
Let us assume that the sandals cost before tax $x.
So, after giving an 8% tax the price will be 
.
If the $15 gift certificate on that after tax price and the final cost of the sandals becomes $12, then
1.08x - 15 = 12
⇒ 1.08x = 27
⇒ x = $25
Hence, the sandals cost before tax $25. (Answer)
