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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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<h3>Answer:  122 degrees</h3>

==========================================================

Explanation:

Angle BAC can be shortened to "angle A" since the letter A is in the middle.

Angle BCA can be shortened to "angle C" for similar reasoning.

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Let's use this fact to solve for x.

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