solve for y and x, please show steps
3x+3y=9
take coommon 3 out from the equation. it will be 3(x+y) = 9; then x+y = 9/3 =3 ; then x = 3-y; replace the value of x with is i,e = 3(3-y +y] =9 = 9-3y+3y =9 then x= 9/9 =1 ; when x = 1 then y 3+3y = 9; then 3y = 9 -3 = 6 ; then y = 6/3 = 2; means x=1 and y = 2 ; = put the value of x and y in you equation it will be 3x1+3x2 = 9.
hope this is the way to find out. i am not a mathematician. May somebody else will come with different Idea. let us wait.
to solve for x,
first, transpose all terms which does not contain x,, thus we have to transpose the term 3y to the right side of equation, but the sign must be the opposite:
3x + 3y = 9
3x = 9 - 3y *positive 3y becomes negative after transposing
after that, divide the numerical coefficient of x (which is 3) to all terms in the equation to get x:
(3x)/3 = (9)/3 - (3y)/3
x = 3 - y
the steps to solve for y is the same as that of solving for x,, of course, terms that should be transposed to other side of equation must not contain y,, therefore:
3x + 3y = 9 *transpose.
3y = 9 - 3x *then divide by num. coefficient of y (which is 3)
y = 3 - y
so there,, =)
To solve for y and x in the equation 3x + 3y = 9, we can use a method called "solving the system of linear equations." This method involves manipulating the equation in order to isolate one variable and then substitute its value into the equation to solve for the other variable.
Step 1: Rearrange the equation
Starting with the equation 3x + 3y = 9, let's rearrange it by moving the term containing y to the other side of the equation:
3x = 9 - 3y
Step 2: Isolate x
To isolate x, divide both sides of the equation by 3:
(3x) / 3 = (9 - 3y) / 3
x = 3 - y
We have found the value of x in terms of y.
Step 3: Substitute the expression for x into the original equation
Now, substitute the value of x (3 - y) into the original equation:
3(3 - y) + 3y = 9
Step 4: Distribute the 3
Multiply 3 to each term inside the parentheses:
9 - 3y + 3y = 9
Step 5: Simplify and solve
Simplify both sides of the equation:
9 = 9
Step 6: Analyze the result
In this case, we have ended up with an identity, "9 = 9," which means that the equation is true for any value of y. This implies that there are infinitely many solutions for x and y.
Final solution:
The solution to the equation 3x + 3y = 9 is any pair of values (x, y) that satisfies the equation. Since there are infinitely many solutions, we can express the solution as:
x = 3 - y
y = any real number