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If: y = x -2 and 7y -4x = 10 Then: x = 8 and y = 6
The simplest way is to rewrite the equation in the standard for: y = mx + c. Then the slope is m. 8x - 7y = 56 7y = 8x - 56 y = 8/7 * x - 8 So the slope is 8/7
x + 7y = 7 ⇒ 7y = -x + 7 ⇒ y = -x/7 + 1 ⇒ y intercept is 1.
5y+8=7y 2y=8 y=4
4X + 7Y = 60 -4X + 7Y = - 4 -----------------------+ 14Y = 56 Y = 4 --------- insert back into one of these equations to find X 4X + 7(4) = 60 4X + 28 = 60 4X = 32 X = 8 ------------check 4(8) + 7(4) = 60 32 + 28 = 60 60 = 60 ----------------checks, now second equation -4(8) + 7(4) = -4 -32 + 28 = -4 -4 = -4 --------------checks solution set. X = 8 Y = 4 (8,4)