Answer:The equation of the solution 4x + 5y = 22 and 2x + 3y = 12 will be (3, 2).
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).
Explanation: