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According to the given expressions, there was used the multiplication property for inequalities because there's being multiplied the number 61 on both sides.
A. Let x represent the number of miles and y represent the total price.
y=3x+15
B. Using the equation we just wrote, replace the x with 45.
y=3(45)+15
Now multiply 45 by 3.
y=135+15
And finally add together 135 and 15.
y=150
The total cost of a 45 mile taxi ride would be $150.00.
Answer:
<h3>A. no solution</h3>
Step-by-step explanation:
<u>Given:</u>
Isolate the term of x and y from one side of the equation.
<h3>x-y=-4 and -2x+2y=6</h3>
x-y=-4
<u>First add by y from both sides.</u>
x-y+y=-4+y
<u>Solve.</u>
x=-4+y
<u>You have to substitute of x=-4+y.</u>
![\sf{-2\left(-4+y\right)+2y=6}](https://tex.z-dn.net/?f=%5Csf%7B-2%5Cleft%28-4%2By%5Cright%29%2B2y%3D6%7D)
<u>Solve.</u>
<u>Use the distributive property.</u>
<u>Distributive property:</u>
⇒ A(B+C)=AB+AC
-2(-4+y)
Multiply expand.
-2*-4=8
-2*y=-2y
Rewrite the expression down.
8-2y
8-2y+2y=6
-2y+2y=0
8=6
![\Longrightarrow: \boxed{\sf{\text{\sf{NO solution}}}}](https://tex.z-dn.net/?f=%5CLongrightarrow%3A%20%5Cboxed%7B%5Csf%7B%5Ctext%7B%5Csf%7BNO%20solution%7D%7D%7D%7D)
- <u>Therefore, the correct answer is "A. No solution".</u>
I hope this helps, let me know if you have any questions.