Use the substitution method to solve the following system of equations: 3x + 5y = 3 x + 2y = 0 (1,1) (6,-3) (1

Question

Question

Use the substitution method to solve the following system of equations:
3x + 5y = 3
x + 2y = 0
(1,1)
(6,-3)
(1, -3)
(6,1)

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Math Clara 4 months 2022-01-21T05:05:02+00:00 2022-01-21T05:05:02+00:00 1 Answer 0 views 0

Answers ( )

Clara · Answer 1 · 2022-01-21T05:06:30+00:00

Answer:

(6, – 3 )

Step-by-step explanation:

Given the 2 equations

3x + 5y = 3 → (1)

x + 2y = 0 → (2)

Rearrange (2) expressing x in terms of y by subtracting 2y from both sides

x = – 2y → (3)

Substitute x = – 2y into (1)

3(- 2y) + 5y = 3

– 6y + 5y = 3

– y = 3 ( multiply both sides by – 1 )

y = – 3

Substitute y = – 3 into (3) for corresponding value of x

x = – 2(- 3) = 6

Solution is (6, – 3 )