Solve the following pair of simultaneous equations: 2x - y = 7 and 4x + y = 23

2x - y = 74x + y = 23In this pair of simultaneous equations, we have two unknowns. We can solve them simultaneously using substitution or elimination, but I will go through the elimination method. I wish to eliminate, or get rid of one of the unknowns in order to solve for the remaining variable, so I am looking for common coefficients of x or y in the two equations. I can see that the variables of x (2 and 4) are not the same, so I will not eliminate this variable. The coefficients of y in the two equations are both 1, despite one being -1 and the other +1. I will look to eliminate this variable. Using "STOP", I can see that I should add the two equations as the coefficients of y have different signs. Same signsTake awayOpposite signsPlusWhen I add the two equations, I get that 6x = 30. I then divide both sides by 6 to get x on its own, which leaves me with x = 5. I then need to find the value of y by substituting x = 5 into either of my original equations. I will substitute it into the first one. 2(5) - y = 710 - y = 7y = 10 - 7y = 3I finally get that x = 5 and y = 3.