To solve this system of equations using the illumination method, we will eliminate one of the variables by either adding or subtracting the equations. Let's start by eliminating the variable x.
Given equations:
1) x + 4y = 11
2) - x + 3y = 3
We can eliminate x by adding the two equations together:
x + 4y + (-x + 3y) = 11 + 3
4y + 3y = 14
7y = 14
y = 2
Now that we have found the value of y, we can substitute it back into one of the original equations to solve for x. Let's use equation 1:
x + 4(2) = 11
x + 8 = 11
x = 11 - 8
x = 3
Therefore, the solution to the system of equations x + 4y = 11 and -x + 3y = 3 is x = 3 and y = 2.
Use the illumination method to solve x + 4y = 11 and - x + 3 y = 3
1 answer