Solve the simultaneous equation 2x + 3y = 7 3x + 2y = 8
1 answer:
Answer:
(2, 1 )
Step-by-step explanation:
2x + 3y = 7 → (1)
3x + 2y = 8 → (2)
multiplying (1) by 3 and (2) by - 2 and adding will eliminate x
6x + 9y = 21 → (3)
- 6x - 4y = - 16 → (4)
add (3) and (4) term by term to eliminate x
0 + 5y = 5
5y = 5 ( divide both sides by 5 )
y = 1
substitute y = 1 into either of the 2 equations and solve for x
substituting into (1)
2x + 3(1) = 7
2x + 3 = 7 ( subtract 3 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
solution is (2, 1 )
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