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Solve the system of equations using elimination. 5x + 3y = 8 4x + y = 12

User Ferret
by
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1 Answer

6 votes
Answer:
x = 4
y = -4

Step-by-step explanation:
5x + 3y = 8
12x + 3y = 36
(Multiply second row by 3) =
-7x = -28 (now let’s solve for x)
(Divide both sides by -7)
x = -28/-7 (two negatives make a positive) =
x = 28/7 (simplify) =
x = 4
(Now let’s solve for y : substitute 4 into With equations, we’re gonna choose 5x + 3y = 8)
5x + 3y = 8 ➡️ 5 • 4 + 3y = 8 : 5 • 4 = 20 + 3y = 8 (subtract 20 from both sides) : 3y = 8 - 20 (simplify 8 - 12 = -12) : 3y = -12 (divide both sides by 3) y = -12/3 : y = -4
User Tyler Morales
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