Solve the following simultaneous equations: A. 2x-2y=18 and B. 3x+y=23
Step 1: Rearrange one equation to make y the subject. In equation B, we can move the 3x to the other side, making it negative and making the equation y=23-3xStep 2: Substitute our new value for y into equation A: 2x-2(23-3x)=18Step 3: Find the value of x by solving equation A: 2x-46+6x=18, 8x-46=18, 8x=64, x=8Step 4: Substitute our value for x into equation B to find the value of y: 3(8)+y=23, 24+y=23, y=-1Step 5: Substitute both values into equation A to confirm that these are correct: 2(8)-2(-1) = 16+2 = 18
SM
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