Question

Solve the system of equations and choose the correct ordered pair.

4x + 5y = 22
2x + 3y = 12

Answer 1

4x + 5y = 22 ⇒ Equation 1
2x + 3y = 12 ⇒ Equation 2

2(2x + 3y) = 2(12)
4x + 6y = 24 ⇒ Equation 3

Equation 1 - 3
(4x - 4x) + (5y - 6y) = 22 - 24
-y = -2
y = 2

Substitude y into Equation 1,
4x + 5(2) = 22
4x + 10 = 22
4x = 12
x = 3

(3,2)
Answer is A.

Answer 2

The equation of the solution 4x + 5y = 22 and 2x + 3y = 12 will be (3, 2). Then the correct option is A.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

The equations are given below.

4x + 5y = 22   …1

2x + 3y = 12    …2

The degree of the equation is one, then the equations will be the linear equation.

Multiply the equation 2 by 2, then subtract the equation 1 from 2. Then the equation will be

  4x + 6y = 24

–4x – 5y = –22

 6x -  5y = 24 – 22

Then simplify the equation, then the equation will be

y = 2

Substitute the value of y in equation 1, then the value of x will be

4x + 5(2) = 22

  4x + 10 = 22

         4x = 22 – 10

         4x = 12

           x = 12 / 4

           x = 3

Then the equation of the solution will be (3, 2).

Then the correct option is A.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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