Solve the simultaneous equations for x and y: 9x-2y=7 4x-2y=2

Using the elimination technique:As we have -2y in both equations we can take the equations away from each other in order to eliminate -2y and create a new linear equation involving only x. this equation would be as follows; 5x=5. We can now solve for x, to do this we want x on its own and so divide both sides of the equations by 5 to then get x=1. We can now solve for y. We can use the value we got for x to substitute that into our equations above. So if we add x =1 into equation one we get a new equation of: 9-2y=7. We want to make y on its own first, so minus 9 from both sides, to get -2y=-2. Finally divide both sides by -2 to get y=1.