Work out the point of intersection of the lines
2x + 3y = 11 and 2y = 13 – 3x
1 answer:
Answer:
x = 3.4
y = 1.4
Step-by-step explanation:
2x + 3y = 11
2y = 13 – 3x, then y = (13 - 3x)/2
substitute for y:
2x + 3((13 - 3x)/2) = 11
reduce:
2x + (39 - 9x)/2 = 11
reduce:
2x + 19.5 - 4.5x = 11
subtract 19.5 from both sides of the equation and combine for x:
-2.5x = -8.5
divide both sides by -2.5:
x = 3.4
y = (13 - 3(3.4))/2 = (13 - 10.2)2 = 1.4
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