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Solve the system of equations.
2x + 3y = 1
5x + 2 = 8
What is the solution?

1 Answer

3 votes

Answer:

x = 2, y = -1

Explanation:

2x + 3y = 1.....(1)

5x + 2y = 8.....(2)

multiply equation (1) by 5 and equation (2) by 2

10x + 15y = 5 .......(3)

10x + 4y = 16......(4)

solving by elimination method

we subtract equation (4) from (3)

hence ...

11y = -11

dividing both sides by 11

y = -1

substituting y = -1 in equation (1) to solve for the value of x

2x + 3(-1) = 1

2x - 3 = 1

rearranging,

2x = 3 + 1

2x = 4

dividing both sides by 2

x = 2

User Benjamin Hackl
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