Solve this set of linear equation to find x and y: 1. 8x + 2y =48 2. 7x +3y =47

Write out the two equations and label them 1 and 28x + 2y =487x+ 3y= 47The first aim is to get one variable (ie x or y) on both lines to equal each other. The easiest way to do this (keeping the numbers manageable) is by multiplying all the values on row 1 by 3 and row 2 by 2. This way, we have '6y' on both lines.Now we have24x + 6y= 14414x +6y = 94Next we get rid of one variable and can do this by subtracting line 2 from line 1 (therefore we get rid of 'y' for now)Top tip: use the acronyms ADD (add different (signs)) SSS (subtract same signs) -> in this example we are subtracting same signs.So now we have10x =50From now, we can solve algebraically by dividing both sides by 10 to get xx= 5Now, we can find y by substituting x=4.4 into either one of our original equations. Substituting into equation 1, we get8(5) + 2(y)=48Rearrange and then divide by 22y=8y=4To check this answer, we can put both values for x and y into equation 27(5)+ 3(4)= 47=35 + 12 = 47 so we are correct