Algebra-1

Let's review how to solve the system of equations using the elimination method:
Step 1: Arrange the equations
Step 2: Align coefficients: Modify one or both equations (if necessary) by multiplying by suitable numbers so that the coefficients of one of the variables (either x or y) are the same or opposites.
Step 3: Add or subtract equations: Add or subtract the equations to eliminate one variable. This will give you a single equation with one variable.
Step 4: Solve for the remaining variable: Solve the resulting equation to find the value of the remaining variable.
Step 5: Substitute back: Substitute the value found in step 4 into one of the original equations to find the value of the other variable.

Given the system:
4x - 5y = –11

2x + 15y = 47