2x+8y=4. x=−3y+5. substitution method
2 answers:
Answer:
(x, y) = (14, -3)
Step-by-step explanation:
You are given an expression for x, so it is convenient to use that to substitute for x.
2(-3y +5) +8y = 4
-6y +10 +8y = 4 . . . . . eliminate parentheses
2y = -6 . . . . . . . . . . . . subtract 10, collect terms
y = -3 . . . . . . . . . . . . . divide by 2
x = (-3)(-3) +5 = 14 . . . use the second equation to find x
The solution is (x, y) = (14, -3).
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