Question

Solve the system of equations.2x+3y = 18 and 3x+y = 6.

Answer 1

2x + 3y = 18--->2x + 3y = 18

3x + y = 6---->9x + 3y = 18

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7x = 0

x = 0, y = 6

{(0, 6)}

Answer 2

To solve the system of equations, we can use the method of substitution. The solution to the system of equations is x = 0 and y = 6.

Step-by-step explanation:

To solve the system of equations 2x + 3y = 18 and 3x + y = 6, we can use the method of substitution. First, solve one of the equations for one variable, for example, solve the second equation for y:

y = 6 - 3x

Then, substitute this value of y into the first equation:

2x + 3(6 - 3x) = 18

Simplify and solve for x:

2x + 18 - 9x = 18

-7x = 0

x = 0

Substitute this value of x back into either equation to find y:

y = 6 - 3(0) = 6

Therefore, the solution to the system of equations is x = 0 and y = 6.