Final answer:
To find the solution of the system of equations -7x+y=-20 and 9x-3y=36, we can use the method of substitution. The solution is x = 2 and y = 6.
Step-by-step explanation:
To find the solution of the system of equations -7x+y=-20 and 9x-3y=36, we can use the method of substitution or elimination. Let's use the method of substitution:
Step 1: Solve one equation for one variable in terms of the other variable. From the first equation, we have y = 7x - 20.
Step 2: Substitute this expression for y in the second equation. Substitute the value of y from Step 1 into the second equation: 9x - 3(7x - 20) = 36.
Step 3: Simplify and solve for x. Distribute the -3 to both terms inside the parentheses: 9x - 21x + 60 = 36.
Step 4: Combine like terms: -12x + 60 = 36.
Step 5: Subtract 60 from both sides of the equation: -12x = -24.
Step 6: Divide both sides of the equation by -12: x = 2.
Step 7: Substitute the value of x back into one of the original equations to find y. Using the first equation, we have -7(2) + y = -20. Simplifying, we get y = 6.
Therefore, the solution to the system of equations is x = 2 and y = 6.