Solve for x and y. 2x + 3y = 23; 3x - y = 7

Solution:

Given, equations are 2x + 3y = 23 --- (1)

3x - y = 7 --- (2)

We have to solve for x and y.

From (2),

3x = 7 + y

y = 3x - 7

Put the value of y in (1)

2x + 3(3x - 7) = 23

2x + 9x - 21 = 23

11x = 23 + 21

11x = 44

x = 44/11

x = 4

Put x = 4 in (2)

3(4) - y = 7

12 - y = 7

12 = 7 + y

y = 12 - 7

y = 5

Therefore, the value of x = 4 and y = 5.

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Solve for x and y. 2x + 3y = 23; 3x - y = 7

Summary:

Solving for x and y. 2x + 3y = 23; 3x - y = 7. The value of x = 4 and y = 5.