Can someone please professionally explain the math equations below. (Not just answer the question) Solve the system of linear equations. 2x - y = -8 -5x + y = 26 I will mark as brainliest!

1 answer
Question:

Can someone please professionally explain the math equations below. (Not just answer the question)
Solve the system of linear equations.
2x - y = -8
-5x + y = 26
I will mark as brainliest!

Answers

Step-by-step explanation:We will solve this system of equations using two methods: elimination and substitution.Method 1: Elimination 2x - y = -8. #1 -5x + y = 26. #2Note that by adding these two equations, the y-variable is eliminated (thus the name) and you're only left with an equation with one variable. So upon adding, we get-3x = 18 or x = -6Using this value for x, put this back in either one of the equations. Let's use the 2nd one.-5(-6) + y = 26--> 30 + y = 26Moving 30 to the right side, we get y = -4.Method 2: Substitution This is done by isolating one variable to the left side in one equation and then using it on the other equation. Let's take equation #2 and put the y-variable on the left side and you should gety = 5x + 26Now use this equation and plug it into the y in equation #1:2x - (5x + 26) = -8--> 2x - 5x - 26 = -8--> -3x = 26 - 8 = 18 or x = -6.Use this value for x into either one of the equations. Let's use equation #1 this time.2(-6) - y = -8--> -12 + 8 = y or y = -4.Notice that using either method will give you the same result, as one might expect.

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