Solve this simultaneous equation using the process of elimination: -6x - 2y = 14 3x - 2y = 5

To solve using elimination, you need to use the following four steps:Step 1: make sure that both of the equations have opposite x terms or opposite y terms. Currently neither of the x terms in the two equations, -6x and 3x, or the y terms, -2y and -2y are opposites. By opposites I mean that they are the positive and the negative of the same number, if they were we would be able to cancel them out. Therefore we use multiplication to rewrite these equations. We can do this by re-arranging the first equation -6x - 2y = 14, to 6x + 2y = -14. When we compare this to the second equation 3x - 2y = 5, we have opposite y terms, 2y and -2y. Step 2: elimate one variable in order to solve another. Since we now have opposite y terms, we can get rid of component y in order to solve for x. We can do this by adding the two equations together. (6x + 2y = -14) + (3x - 2y = 5) this cancels out the y, to make the equation 9x +0y = -9, which means 9x = -9. We can now solve for x, by dividing both sides by 9, to get x = -1.Step 3: Put the result of step 2 into the original equations and solve. We now know that x=-1, which we can put in the original equation to solve for y. Lets take the original equation -6x - 2y = 14, since x = -1, we can substitue in x = -1 to make -6(-1) - 2y = 14, which is the same as 6 - 2y = 14. We can then subtract 6 from both sides to find y, -2y = 8. Therefore by dividing both sides by -2, we can get y = -4.Step 4: write down the solutions. Since we have found out that x = -1 and y = -4, then the solution is (-1, -4)