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what is the solution to the system of equations? 5x+3y=18 and 2x-3y=10 A-2/3,4 B-1 5/9,1 2/3 C- 2 2/3, 1 5/9 D- 4,- 2/3

User MarioH
by
2.8k points

2 Answers

6 votes

Answer:

D

Explanation:

5x + 3y = 18 โ†’ (1)

2x - 3y = 10 โ†’ (2)

adding the 2 equations term by term will eliminate the y- term

7x + 0 = 28

7x = 28 ( divide both sides by 7 )

x = 4

substitute x = 4 into either of the 2 equations and solve for y

Substituting into (1)

5(4) + 3y = 18

20 + 3y = 18 ( subtract 20 from both sides )

3y = - 2 ( divide both sides by 3 )

y = -
(2)/(3)

User Maertz
by
3.3k points
3 votes

Answer:

The answer should be D.

Explanation:

You do the elimination process.

User Ilya Petukhov
by
4.1k points