Solve the simultaneous equations: 3x − y = 23 2x + 3y = 8

Write the 2 equations above each other: 3x-y=23 2x+3y=8First we want to remove the y terms to be able to find out x, so multiply the top equation by 3 9x-3y=69 2x+3y=8Now that we have -3y on the top and -3y on the bottom, we can add the 2 equations giving 11x=77 dividing both sides by 11 gives us x=7We can substitute this x back into the very first equation now to give us y ---> 3(7)-y=23Add y to both sides --> 21=23+ySubtract 23 from both sides --? -2=yNow substitute x and y into the second equation to check

JB
Answered by Jessica B. Maths tutor

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