To solve the following system of equation by elimination which operation would you perform first $234x + 65y = 29 1225x+ 65y = -427
To solve the system of equations by elimination, we need to make the coefficients of one of the variables (either x or y) the same in both equations.
In this case, the coefficient of y is already the same in both equations, so we can choose to eliminate y.
To do this, we will subtract the second equation from the first equation.
(234x + 65y) - (1225x + 65y) = 29 - (-427)
This simplifies to:
234x - 1225x + 65y - 65y = 29 + 427
Simplifying further, we have:
-991x = 456
Now, we can solve for x by dividing both sides of the equation by -991:
x = 456 / -991
Finally, we can substitute this value of x back into one of the original equations to solve for y.