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

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

We follow the steps below:

We add the equations:

We divide between 9 on both sides of the equation:

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

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

(3, -1)

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

To find the solution

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)

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x