1. Which point is a solution to this system of equations? 3х - у = 7 and 2x + 3y = 1​

9514 1404 393

  (x, y) = (2, -1)

Step-by-step explanation:

A graphing calculator can find a solution quickly. (see attached)

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The first equation can give an expression for y:

  y = 3x -7

We can substitute this into the second equation:

  2x +3(3x -7) = 1

  11x -21 = 1 . . . . . . simplify

  11x = 22 . . . . . . . add 21

  x = 2 . . . . . . . divide by 2

  y = 3(2) -7 = -1 . . . . using our equation for y

The solution is (x, y) = (2, -1).

−30 < 5 over 9 (F − 32) < 130; −22 < F < 266

Step-by-step explanation:

Suppose F represents the temperature in degree Fahrenheit at which the antifreeze container protects the car,

Since, to convert Celsius temperature to Fahrenheit temperature, the formula is,

According to the question,

C' must be between -30°C and 130°C,

⇒ -30 < C' < -130  ------(1)

Now,

Thus, -30° in degree  Fahrenheit =

Also, 130° in degree Fahrenheit, =

Hence, we can write,

−22 < F < 266