Solve y=2x+1

3y=4x+7

1.) 3 (2x+1) = 4x + 7

2.) 6x + 3 = 4x + 7

3.) 2x + 3 = 7

4.) 2x = 4

5.) x = 2

6.) y = 2 (2) + 1

7.) y = 4 + 1

8.) y = 5

Answer: x = 2, y = 5

Step-by-step explanation:

Given:

y = 2x + 1 ... equation 1

3y = 4x + 7 ... equation 2

Solving the system of linear equation by substitution method:

substituting y = 2x + 1 into equation 2, we have

3 (2x+1) = 4x + 7

Expanding, we have:

6x + 3 = 4x + 7

Subtracting 4x from both sides, we have

6x - 4x + 3 = 7

2x + 3 = 7

subtracting 3 from both sides, we have:

2x = 4

divide through by 2

x = 2

substitute x = 2 into equation 1, that is

y = 2x + 1

y = 2 (2) + 1

y = 4 + 1

y = 5

Therefore: x = 2 and y = 5