2x+3y=12 and y=x+1.5 in substitution form
1 answer:
Answer:
(1.5, 3)
Step-by-step explanation:
Given the 2 equations
2x + 3y = 12 → (1)
y = x + 1.5 → (2)
Substitute y = x + 1. 5 into (1)
2x + 3(x + 1.5) = 12 ← distribute and simplify left side
2x + 3x + 4.5 = 12
5x + 4.5 = 12 ( subtract 4.5 from both sides )
5x = 7.5 ( divide both sides by 5 )
x = 1.5
Substitute x = 1.5 into (2) for corresponding value of y
y = 1.5 + 1.5 = 3
Solution is (1.5, 3)
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