Respuesta :
The solution for x and y for the given expression are :
x =1/2y + −1/2 and y=2x+1 respectively.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
Here, the given equation is : 16x + 9 = 9y - 2x
Now,
solving for x :
16x+9=9y−2x (Add 2x to both sides.)
16x+9+2x=−2x+9y+2x
18x+9=9y
18x+9+−9=9y+−9 (Add -9 to both sides)
18x=9y−9
18x/18 = 9y−9/18 (Divide both sides by 18.)
x =1/2y + −1/2
solving for y :
16x+9=9y−2x
−2x+9y=16x+9 (Flip the equation.)
−2x+9y+2x=16x+9+2x (Add 2x to both sides.)
9y=18x+9
9y/9=18x+9/9 ( Divide both sides by 9.)
y=2x+1
Therefore, the solution for x and y for the given expression are :
x =1/2y + −1/2 and y=2x+1 respectively.
Read more about system of equations at :
https://brainly.com/question/12895249
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