How Do You Solve Simultaneous Equations By Algebraic Method?

You have it right, though I don't know how you did it, because... When you subtracted, you didn't multiply the WHOLE equation by -1; that would have bollixed it up. You'd have been better off multiplying the top by 3 and the bottom by 7; then the y's would have dropped (they have opposite signs, see?) Thankfully, when you got the equation just in y, everything was correct. (How, I'm not quite sure.) Doing it the easy way, you'd have had: 9x - 21y = 57 and 35x + 21y = 42.

NOW combine; the y goes away, 44x = 99 and x = 9/4. Now substitute into the first equation to solve for y. -7y = 19 - 27/4 = 76/4 - 27/4 = 49/4, so y = -7/4.

Sometimes you catch a break, I suppose...

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