Solve the simultaneous equation by elimination method 5x -2y=14 ,2x+2y=14
To solve the simultaneous equation by elimination method, we will eliminate one of the variables by adding or subtracting the two equations to make it easier to solve for the other variable.
First, let's add the two equations together to eliminate the y variable:
(5x - 2y) + (2x + 2y) = 14 + 14
7x = 28
Now, divide both sides of the equation by 7 to solve for x:
7x/7 = 28/7
x = 4
Now that we have found the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the first equation:
5x - 2y = 14
5(4) - 2y = 14
20 - 2y = 14
Now, subtract 20 from both sides of the equation:
-2y = 14 - 20
-2y = -6
Divide both sides of the equation by -2 to solve for y:
-2y/-2 = -6/-2
y = 3
Therefore, the solution to the simultaneous equation 5x - 2y = 14 and 2x + 2y = 14 is x = 4 and y = 3.
To solve the simultaneous equation by the elimination method, you can add the two equations together in order to eliminate the y terms.
Add the equations:
(5x - 2y) + (2x + 2y) = 14 + 14
7x = 28
Divide both sides of the equation by 7 to solve for x:
7x/7 = 28/7
x = 4
Now substitute the value of x into one of the original equations to solve for y. Let's use the second equation.
2x + 2y = 14
2(4) + 2y = 14
8 + 2y = 14
Subtract 8 from both sides of the equation to isolate the y term:
8 + 2y - 8 = 14 - 8
2y = 6
Divide both sides of the equation by 2 to solve for y:
2y/2 = 6/2
y = 3
Therefore, the solution to the simultaneous equations 5x - 2y = 14 and 2x + 2y = 14 is x = 4 and y = 3.