How to solve system by substitution X+y=10X-y=2

Answer:x = 6 , y = 4Step-by-step explanation:Solve the following system: {x + y = 10 x - y = 2 Hint: | Choose an equation and a variable to solve for. In the first equation, look to solve for y: {x + y = 10 x - y = 2 Hint: | Solve for y. Subtract x from both sides: {y = 10 - x x - y = 2 Hint: | Perform a substitution. Substitute y = 10 - x into the second equation: {y = 10 - x 2 x - 10 = 2 Hint: | Choose an equation and a variable to solve for. In the second equation, look to solve for x: {y = 10 - x 2 x - 10 = 2 Hint: | Isolate terms with x to the left hand side. Add 10 to both sides: {y = 10 - x 2 x = 12 Hint: | Solve for x. Divide both sides by 2: {y = 10 - x x = 6 Hint: | Perform a back substitution. Substitute x = 6 into the first equation: {y = 4 x = 6 Hint: | Sort results. Collect results in alphabetical order: Answer: {x = 6 , y = 4