Answer:
x=5
y=−3
Step-by-step explanation:
We use the elimination method to solve this system of equations. To eliminate one of the variables, we need to make some changes to the equation so that the variables have the same coefficients but opposite signs
Let's take a look at this system of equations:
−4y+11x−67=0
2y+5x−19=0
The coefficient -4 of y in the first equation is exactly -2, times the coefficient 2 of y in the second equation. Therefore, we can multiply the second equation by 2 to eliminate the y.
2⋅2y+2⋅5x−2⋅19=0
4y+10x−38=0
Now we can eliminate y like this:
−4y+11x−67=0
+ 4y+10x−38=0
0+21x−105=0
Solve this final equation to get x = 5 Substitute it into the original one to get y=-3.
The solution to this system of equations is:
x=5
y=−3
