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Arada [10]
3 years ago
12

Tina wrote the equations 3x - y = 9 and 4x + y + 5, What can Tina conclude about the solution to this system of equations?

Mathematics
2 answers:
Maru [420]3 years ago
4 0
3x - y = 9
4x + y = 5
---------------add
7x = 14
x = 14/7
x = 2

3x - y = 9
3(2) - y = 9
6 - y = 9
-y = 9 - 6
-y = 3
y = -3

C. (2,-3) is a solution to the system of linear equations
Dmitriy789 [7]3 years ago
3 0

Answer:

C. (2, –3) is a solution to the system of linear equations.

Step-by-step explanation:

Given equations are,

3x - y = 9 --------(1),

4x + y = 5 --------(2),

Equation (1) + Equation (2),

3x + 4x = 9 + 5

7x = 14           ( Combine like terms )

x = 2             ( Divide both sides by 7 ),

From equation (1),

3(2) - y = 9

6 - y = 9

-y = 9 - 6    ( Subtraction 6 on both sides )

-y = 3

⇒ y = - 3     ( Multiplying -1 on both sides )

Hence, the solution of the system of equations is (2,-3),

Option 'C' is correct.

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3 0
3 years ago
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HELP PLSS
atroni [7]

The balloon reaches a height of 7 feet at 0.1 seconds and 2.13 seconds

<h3>How to determine the time the balloon is at the height?</h3>

The equation of the function is given as

h(t)= -16t^2 + 35t + 5

The above equation is a quadratic equation

When the balloon is at a height of 7 feet, we have

h(t) = 7

So, we have the following equations

h(t)= -16t^2 + 35t + 5

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Next, we plot the equations on a graph (see attachment)

The equations intersect at

t = 0.059 and t = 2.129

Approximate

t = 0.1 and 2.13

Hence, the times are 0.1 seconds and 2.13 seconds

Read more about quadratic equation at

brainly.com/question/15709421

#SPJ1

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