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torisob [31]
2 years ago
10

Which ordered pair is a solution to the system of linear equations? 2x 3y= 6 –3x 5y = 10 (0,2) (2,0) (3,2) (2,3)

Mathematics
1 answer:
Kruka [31]2 years ago
3 0

An equation is formed of two equal expressions. The ordered pair which is the solution of the system of linear equations is (0,2).

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of the equation can be done in the following manner.

2x+3y=6

3x+5y=10

Let's take the first equation and find write it in terms of y. therefore, the first equation can be written as,

2x+3y=6\\\\2x=6-3y\\\\x = \dfrac{6-3y}{2}

Now, substitute the value of x in the second equation,

3x+5y=10\\\\3(\dfrac{6-3y}{2})+5y=10\\\\18-9y +10y = 20\\\\-9y+10y=20-18\\\\y=2

Thus, the value of y is 2. substituting the value of y in the first equation to get the value of x.

2x+3y=6\\\\2x+3(2)=6\\\\2x=6-6\\\\x=0

Hence, the ordered pair which is the solution of the system of linear equations is (0,2).

Learn more about Equation:

brainly.com/question/2263981

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