2x - y=8.....1
3x + y=17....2 using elimination method
Solve
add the two equations to eliminate y.
5x = 25
now finish it off
2 x - y = 8
+
3 x + y = 17
__________
5 x = 25
x = 25 / 5
x = 5
Insert this value into the first or second equation, whichever.
For example:
3 x + y = 17
3 ∙ 5 + y = 17
15 + y = 17
Subtract 15 to both sides.
y = 2
The solution is x = 5 , y = 2
You can also write equation as ( 5 , 2 )
Where fist number is x coordinate , second number is y coordinate.
You can also write the solution of equation as ( 5 , 2 )
Thank's correct
To solve the system of equations using the elimination method, we need to eliminate one of the variables by adding or subtracting the two equations.
Let's eliminate the variable "y" by adding equations (1) and (2).
Adding equation (1) and (2):
(2x - y) + (3x + y) = 8 + 17
2x + 3x - y + y = 25
Simplifying the equation:
5x = 25
To solve for "x," divide both sides of the equation by 5:
5x / 5 = 25 / 5
x = 5
Now, substitute the value of "x" into one of the original equations. Let's use equation (1):
2x - y = 8
Substituting x = 5:
2(5) - y = 8
10 - y = 8
Solving for "y" by subtracting 10 from both sides:
- y = 8 - 10
- y = -2
To get the final solution, we have "x = 5" and "y = -2."