What is 2x + 3y = 13

x = 2 + 3y

Step-by-step explanation:

Given that

2x+3y=13. Equation 1

x=2+3y. Equation 2

Using substitution method

Substitute x in equation 2 to equation 1

2x+3y=13

2 (2+3y) + 3y=13

4+6y+3y=13

4+9y=13

9y=13-4

9y=9

y=9/9

y=1.

To get x, substitute y=1 into equation 2

x=2+3y

x=2+3 (1)

x=2+3

x=5

Then, x=5 and y=1 is the solution to the simultaneous equation

y = 1

x = 5

Step-by-step explanation:

Substitute:

2 (2 + 3y) + 3y = 13

Simplify:

4 + 6y + 3y = 13

Combine terms:

4 + 9y = 13

Subtract 4 from each side:

9y = 9

Divide by 9:

y = 1

Substitute:

x = 2 + 3 (1)

Simplify:

x = 2 + 3

Combine terms:

x = 5

Check with original equation:

2 (5) + 3 (1) = 13

Simplify:

10 + 3 = 13

Combine terms:

13 = 13

It works!