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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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Step-by-step explanation:

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8 0
3 years ago
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a grandmother says her grandson is two years older than her granddaughter and that together, they are at least 12 years old. how
vfiekz [6]

Hello There!

As for this problem, we would have to set up an equation in order to determine the missing age. We would do this because we want to find the missing age and by setting up an equation it will help find the age easier, as opposed to manually calculating it. With that said, let's begin to solve.

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7 0
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