2x+y–3=0,2x–3y–7=0 solve using substitution method
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Step-by-step explanation:
If 2x + y - 3 = 0, and 2x - 3y - 7 = 0,
2x + y - 3 = 2x - 3y - 7
[2x cancels out on both sides] = y - 3 = (-3y) - 7
y = - 3y - 4 OR 4 = (-3y) - y = (-4y)
Therefore, y = (- 4) / 4 = (-1)
By substituting y in one of the equations,
2x + (-1) - 3 = 0 OR 2x = 0 + 4 = 4
Therefore, x = 2
Substituting all the values to clarify,
2(2) + (-1) - 3 = 4 - 1 - 3 = 0
2(2) - 3(-1) - 7 = 4 + 3 - 7 = 0
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