7x+5y=11 , 7x-4y=29solve the simultaneous equation using elimination method
To solve the simultaneous equations using the elimination method, we need to eliminate one of the variables by adding or subtracting the two equations.
In this case, we can eliminate the variable "x" by subtracting the second equation from the first equation.
(7x + 5y) - (7x - 4y) = 11 - 29
This simplifies to:
9y = -18
Now, divide both sides by 9 to solve for "y":
y = -18/9
y = -2
Now substitute the value of "y" into either of the original equations to solve for "x". Let's substitute it into the first equation:
7x + 5(-2) = 11
Simplifying:
7x - 10 = 11
Now, add 10 to both sides:
7x = 21
Divide both sides by 7 to solve for "x":
x = 21/7
x = 3
So the solution to the simultaneous equations is x = 3 and y = -2.