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seraphim [82]
3 years ago
12

What is the solution to this system of linear equations2x+3y=3 and 7x-3y24

Mathematics
2 answers:
Paraphin [41]3 years ago
6 0

Answer:

The correct answer is

x = 3 and y = -1

Step-by-step explanation:

It is given two system of equation

2x + 3y = 3 and  7x - 3y = 24

<u>To find the solution</u>

Let 2x + 3y = 3   ------(1)

7x - 3y = 24         (2)

eq(1) + eq (2) ⇒

9x + 0 = 27

x = 27/9 = 3

eq(1) ⇒

2x + 3y = 3

2*3 + 3y = 3

6 + y = 3

y = 3  6 = -3

y = -3/3 = -1

Therefore the solution of this system of equation  is (3, -1)

Kay [80]3 years ago
5 0

For this case we have a system of two equations with two unknowns:

2x + 3y = 3\\7x-3y = 24

We follow the steps below:

We add the equations:

9x = 27

We divide between 9 on both sides of the equation:

x = \frac {27} {9}\\x = 3

We substitute the value of "x" in the first equation and find the value of y:

2 (3) + 3y = 3\\6 + 3y = 3\\3y = 3-6\\3y = -3\\y = \frac {-3} {3}\\y = -1

Thus, the solution of the system is: (3, -1)

Answer:

(3, -1)

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