Solve both equations for y in terms of x:
y = (-2)x+5
y = (-1/2)x+1/2
Multiply the slopes together:
(-2) X (-1/2) = 1
In order for the lines to be perpendicular, the product of the slopes would have had to equal -1, but it equals 1, so they're not perpendicular.
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-52x + 3 = 7 -52x + 3 = 7 -3 -3 -52x = 4 /52 /52 -x = 1/13 /-1 /-1 x = -1/13
(2x - 10) + 7 = 52x - 3 = 52x = 8x = 4
x - y = 52x + y = 7 (use the substitution method)y = x - 52x + y = 7 (substitute x - 5 for y into the second equation)2x + y = 72x + x - 5 = 73x = 12x = 4Thus x = 4 satisfies both the equations of the system.
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2x - 3 = 2x - 52x = 2x - 22x - 2x = -20 =/= -2Zero is not equal to -2 so the answer is no solution.